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or published in other medical journals. Posts must contain content related to one of the journal’s categories.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The content published\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The journal is divided into 3 categories:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Scientific research article: are valuable scientific works, which have been researched and accepted.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Overview of medicine, biology and pharmacy: serving the objective of continuing training in the fields of medicine, biology and pharmacy; to systematize classical and modern knowledge.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Update information on new knowledge about medicine, biology, pharmacy in the country and in the world.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Scope\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Publication and introduction of scientific research in the fields:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Medicine (internal medicine, surgery, pediatrics, obstetrics and gynecology, odonto-stomatology, laboratory, oncology, traditional medicine, nursing).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Biology (genetics, biotechnology).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Pharmacology (pharmaceutics, drug quality analysis-control, synthetic pharmaceutical chemistry, biochemistry, pharmacognosy, botany, clinical pharmacy).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- To enhance the quality of undergraduate, postgraduate education, scientifically researching and meet the necessary treatment in hospital.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Introducing the updated domestic and oversea information about science technology to promote scientific research and exchanging technology in local, other universities.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Exchanging pharmaceutical and medical information for social health developing in the Mekong Delta and Vietnam.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The object\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Postgraduate students, student of Can Tho University of Medicine and Pharmacy, scientists from schools, research institutes, hospitals, health centers, pharmaceutical companies of the Mekong Delta; other provinces and regions in Vietnam and other country.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Address\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Headquarters of Can Tho Journal of Medicine and Pharmacy, located Scientific Research and International Cooperation Office: 179 Nguyen Van Cu Street, An Khanh Ward, Ninh Kieu District, Can Tho City, Vietnam.\u003C\u002Fspan>\u003C\u002Fp>","\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Ngày 16\u002F7\u002F2015, Tạp chí Y Dược học Cần Thơ được cấp chỉ số quốc tế: ISSN 2354-1210.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 4\u002F2016, Tạp chí đã được Hội đồng Giáo sư ngành Y đưa vào danh sách các tạp chí khoa học Y học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Năm 2020 Tạp chí Y Dược học Cần Thơ đã được phê duyệt vào danh mục của các Hội đồng Giáo sư ngành Dược học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ ra 12 số\u002Fnăm, 180-200 trang\u002Fsố.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 12\u002F2022 Tạp chí Y Dược học Cần Thơ là thành viên của hệ thống Crossref và từ tháng 01\u002F2023 tạp chí thực hiện bình duyệt online kín 2 chiều nhằm tăng tính minh bạch, tin cậy của các công trình nghiên cứu khoa học và đảm bảo tốt nhất chất lượng khoa học của bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ, mục đích và phạm vi của tạp chí\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ và mục đích hoạt động của tạp chí: xuất bản nhằm mục đích phổ biến kết quả từ các đề tài nghiên cứu khoa học; giao lưu trao đổi khoa học, chia sẻ kinh nghiệm, học tập, đồng thời cập nhật thông tin khoa học mới trong các lĩnh vực y, sinh, dược học trong và ngoài nước.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phạm vi của tạp chí: Tạp chí xuất bản được chia thành 3 chuyên mục: (i) Bài báo nghiên cứu khoa học là kết quả công trình nghiên cứu khoa học có giá trị đã được triển khai nghiên cứu, (ii) Bài tổng quan y, sinh, dược học: phục vụ mục tiêu đào tạo liên tục trong lĩnh vực y, sinh, dược học; nhằm hệ thống hóa những kiến thức kinh điển và hiện đại; (iii) Thông tin cập nhật kiến thức mới về y, sinh, dược học trong nước và trên thế giới.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Chính sách truy cập mở\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ áp dụng chính sách truy cập mở đối với các bài báo đã xuất bản đến với độc giả, nhằm mở rộng cơ hội tiếp cận các kết quả nghiên cứu chất lượng cao và tăng cường trao đổi kiến thức. Tạp chí đăng tải trực tuyến (miễn phí) toàn văn các bài báo được công bố trên website của Tạp chí (https:\u002F\u002Ftapchi.ctump.edu.vn).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đạo đức xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ cam kết tuân thủ đạo đức xuất bản phù hợp với các hướng dẫn và tiêu chuẩn của the Committee on Publication Ethics (COPE), tuân thủ các nguyên tắc của COPE’s Core Practices, Best Practices Guidelines for Journal Editors và Guidelines on Good Publication Practices.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Bản thảo bài báo chỉ được chấp nhận khi được tác giả chịu trách nhiệm chính cam kết các nội dung sau: Các nội dung của bản thảo chưa được đăng tải toàn bộ hoặc một phần ở các tạp chí khác; Tất cả các tác giả đều có đóng góp một cách đáng kể vào quá trình nghiên cứu hoặc chuẩn bị bản thảo và cùng chịu trách nhiệm về các nội dung của bản thảo; Tuân thủ các biện pháp đảm bảo đạo đức nghiên cứu (ví dụ thỏa thuận đồng ý tham gia nghiên cứu).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Cam kết bảo mật\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí cam kết thực hiện và tuân thủ các quy định của luật và các văn bản hướng dẫn liên quan đến bảo mật thông tin cá nhân trên không gian mạng. Các thông tin mà người dùng (tác giả, độc giả, biên tập viên, người phản biện) nhập vào các biểu mẫu trên Hệ thống Quản lý xuất bản trực tuyến của tạp chí chỉ được sử dụng vào các mục đích đã được tuyên bố rõ ràng và sẽ không được cung cấp cho bất kỳ bên thứ ba nào khác, hay dùng vào bất kỳ mục đích nào khác.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phí gửi bài\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng bài: 1.000.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng nhanh: 1.500.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với tác giả là cán bộ viên chức thuộc Trường Đại học Y Dược Cần Thơ thì được hỗ trợ 50% lệ phí gửi đăng bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với sinh viên thực hiện đề tài nghiên cứu khoa học cấp trường được hỗ trợ 100% lệ phí đăng bài ( Tác giả gửi đính kèm “ Quyết định về việc giao tổ chức thực hiện đề tài nghiên cứu khoa học cấp Trường của sinh viên”).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Hình thức nộp lệ phí:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Tiền mặt:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Nộp trực tiếp tại Phòng Tài chính - Kế toán, Trường Đại học Y Dược Cần Thơ, số 179 Nguyễn Văn Cừ, P. An Khánh, Q. Ninh Kiều, thành phố Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Chuyển khoản:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tên Tài khoản: Trường ĐHYD Cần Thơ, Số TK: 0111000115668, tại ngân hàng Vietcombank chi nhánh Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Thời gian: Áp dụng từ ngày 01\u002F02\u002F2023.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">* Phí gửi bài không được hoàn trả khi bài viết bị từ chối hoặc tác giả xin rút bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Quy trình phản biện bài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ thực hiện quy trình phản biện kín hai chiều nghiêm ngặt. Danh tính của những người phản biện không được tiết lộ cho các tác giả và ngược lại. Quy trình thẩm định bài báo đăng gồm các bước sau:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tiếp nhận bản thảo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tác giả liên hệ gửi bản thảo đến Tạp chí qua hệ thống trực tuyến tại website: https:\u002F\u002Ftapchi.ctump.edu.vn. Hướng dẫn về cách đăng ký, gửi bài và chuẩn bị bản thảo được cung cấp trên website của Tạp chí.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sàng lọc sơ bộ\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sau khi Tòa soạn nhận được bài báo của tác giả, Ban Thư ký sẽ tiến hành kiểm tra sơ bộ bài báo (các yêu cầu về nội dung và hình thức). Những bài báo không đúng quy cách hoặc có nội dung không phù hợp hoặc vi phạm bản quyền sẽ bị từ chối (Ban Thư ký thông báo phản hồi đến tác giả trong vòng 1 tuần). Những bài báo đủ điều kiện, được Ban Thư ký tòa soạn chuyển đến Ban Biên tập có cùng chuyên môn với nội dung bài báo để đề xuất người phản biện. Thời gian kể từ khi Ban Biên tập nhận bài báo đến khi đề xuất người phản biện bài báo chậm nhất là 5 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Vòng phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký gửi bài và yêu cầu phản biện đến 02 phản biện độc lập.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Các phản biện gởi nhận xét cho Ban Thư ký. Thời gian từ khi gửi bài cho phản biện đến khi nhận ý kiến của phản biện tối đa là 20 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xử ký kết quả phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Nếu ý kiến đồng ý cho đăng và không cần chỉnh sửa, Ban Thư ký tiếp tục đăng bài theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Nếu ý kiến đồng ý đăng và cần chỉnh sửa, Ban Thư ký sẽ thông tin đến tác giả chỉnh sửa theo yêu cầu của người phản biện. Thời gian chỉnh sửa và gửi lại kéo dài không quá 2 tuần, từ khi tác giả bài báo nhận được thông tin (Quá trình này có thể lặp lại tối đa 2 lần\u002F1 bài báo). Khi có sự thống nhất, đồng ý của người phản biện; bài báo được tiếp tục đăng theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Những bài báo có chất lượng không đạt yêu cầu, cả 2 phản biện không đồng ý cho đăng sẽ bị Tòa soạn từ chối đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký tổng hợp các bản thảo đã được tác giả hoàn thiện sau thẩm định trình Ban Biên tập xem xét, Tổng Biên tập phê duyệt, quyết định bài đăng theo các tiêu chí: sự phù hợp nội dung với tôn chỉ và mục đích, thể loại bài viết (ưu tiên các bài có bài có nghiên cứu chuyên sâu, hàm lượng khoa học cao), đóng góp mới bài báo, bài báo được ưu tiên đăng trong số gần nhất của Tạp chí theo thứ tự: tính thời sự, chất lượng bài báo và thời gian gửi bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Ban Biên tập và Ban Thư ký biên tập bản thảo, chế bản, đọc rà soát lỗi. Thời gian hoàn thành từ 10-15 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Ban Thư ký có trách nhiệm thông báo cho tác giả bài báo (bằng e-mail) về tình hình phê duyệt bài báo, thời gian, số kỳ, tập xuất bản bài báo theo qui định.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">4. Danh sách bài báo theo số Tạp chí được in ấn và phát hành trong năm định kỳ được công bố chính thức trên website: https:\u002F\u002Ftapchi.ctump.edu.vn\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>",{"VOID":588},"wcQ1uqwAAAAJ","2023-05-30T08:17:21.868+00:00",[],[592],{"id":593,"createTime":22,"updateTime":22,"relativeEntities":594,"slug":22,"properties":595,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":605,"parentIds":606,"statistic":22},"6413896b-eca9-442b-a73f-182a58a0ce40",[],{"title":596,"address":599,"country":602,"abbreviation":603},{"EN":597,"VI":598},"Can Tho University of Medicine and Pharmacy","Trường Đại học Y Dược Cần Thơ",{"EN":600,"VI":601},"No 179, Nguyen Van Cu street, An Khanh ward, Ninh Kieu district, Can Tho city, Vietnam","Số 179, đường Nguyễn Văn Cừ, phường An Khánh, quận Ninh Kiều, thành phố Cần Thơ, Việt Nam",{"VOID":137},{"VOID":604},"ctump","http:\u002F\u002Fwww.ctump.edu.vn\u002F",[],[],"https:\u002F\u002Ftapchi.ctump.edu.vn\u002Findex.php\u002Fctump",{"impactFactor":23,"impactFactorByYear":610,"i10Index":23,"i10IndexLast5Year":23,"totalPublication":612,"totalPublicationByYear":613,"totalCitation":618,"totalCitationByYear":619,"totalCitationPerPublication":222,"totalCitationPerPublicationByYear":621,"hindexLast5Year":103,"hindex":103},{"2022":611,"2023":225,"2024":220},0.01,1556,{"2020":104,"2021":614,"2022":615,"2023":616,"2024":617,"2025":236},57,306,801,358,161,{"2021":109,"2022":120,"2023":620},99,{"2021":622,"2022":420,"2023":218},0.23,{"impactFactor":22,"impactFactorByYear":22,"i10Index":237,"i10IndexLast5Year":237,"totalPublication":624,"totalPublicationByYear":625,"totalCitation":624,"totalCitationByYear":626,"totalCitationPerPublication":159,"totalCitationPerPublicationByYear":629,"hindexLast5Year":108,"hindex":108},476,{"0":106,"2019":237,"2021":250,"2022":557,"2023":549,"2024":102,"2025":108,"2026":110},{"2021":161,"2022":237,"2023":267,"2024":627,"2025":458,"2026":628},136,83,{"2021":219,"2022":611,"2023":630,"2024":241,"2025":631,"2026":632},0.62,25.43,13.83,{"id":634,"createTime":635,"updateTime":480,"relativeEntities":636,"slug":637,"properties":638,"entityType":20,"verifyStatus":147,"verifyTime":22,"verifyNote":22,"languages":650,"translateLanguages":22,"viewCount":246,"subjectFields":651,"manageAffiliations":652,"indexDatabases":653,"url":654,"thumbnailPath":655,"statistic":656,"gsStatistic":692,"type":124,"analyzePriority":22},"6984a56a-db70-403b-9cc4-4013e1ceaffa","2023-05-09T06:47:40.346+00:00",[],"T%E1%BA%A1p%20ch%C3%AD%20Nghi%C3%AAn%20c%E1%BB%A9u%20n%C6%B0%E1%BB%9Bc%20ngo%C3%A0i",{"country":639,"issn":640,"title":642,"introduce":645,"gsId":648},{"VOID":137},{"VOID":641},"25252445",{"EN":643,"VI":644},"VNU Journal of Foreign Studies","Tạp chí Nghiên cứu nước ngoài",{"EN":646,"VI":647},"{\"ops\":[{\"insert\":\"\\n\\nThe \\n\"},{\"attributes\":{\"italic\":true},\"insert\":\"VNU Journal of Science\"},{\"insert\":\"\\n was established in 1985 for the publication of national and international research papers in all fields of natural sciences and technology, social sciences and humanities. Since then, the journal has grown in quality, size and scope and now comprises a dozen of serials spanning academic research. 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Tạp chí xuất bản các bài báo gốc có giá trị khoa học hoặc công nghệ trong tất cả các lĩnh vực khoa học tự nhiên, xã hội hoặc giáo dục.\\n\"},{\"attributes\":{\"bold\":true},\"insert\":\"Chuyên san Khoa học tự nhiên và công nghệ:\"},{\"insert\":\" Là các bài báo mô tả những phát hiện có giá trị trong vật lý, toán học, hóa học, sinh học; giải quyết các vấn đề kỹ thuật hoặc công nghệ.\"},{\"attributes\":{\"list\":\"bullet\"},\"insert\":\"\\n\"},{\"attributes\":{\"bold\":true},\"insert\":\"Chuyên san Khoa học Xã hội và Nhân văn:\"},{\"insert\":\" là các bài báo xuất bản chất lượng cao trong các lĩnh vực khác nhau của khoa học xã hội và nghiên cứu phát triển con người.\"},{\"attributes\":{\"list\":\"bullet\"},\"insert\":\"\\n\"},{\"attributes\":{\"bold\":true},\"insert\":\"Chuyên san Khoa học giáo dục:\"},{\"insert\":\" là các bài báo xuất bản trong lĩnh vực khoa học giáo dục và các ứng dụng của tiến bộ vào giáo dục để cải thiện và nâng cao giáo dục khoa học ở tất cả các cấp.\"},{\"attributes\":{\"list\":\"bullet\"},\"insert\":\"\\n\"},{\"insert\":\"Tạp chí trường ĐHSP Hà Nội 2 xuất bản được phản biện kín, xét duyệt bởi ít nhất 02 chuyên gia, và được đánh giá, chọn lựa từ ban biên tập và Tổng biên tập.\\n\"},{\"attributes\":{\"bold\":true},\"insert\":\"Các loại bài báo\"},{\"insert\":\":\\nBài báo nghiên cứu:\"},{\"attributes\":{\"list\":\"ordered\"},\"insert\":\"\\n\"},{\"insert\":\"Báo cáo học thuật về nghiên cứu ban đầu chưa từng được xuất bản ở bất kỳ nơi nào, hay bằng bất kỳ ngôn ngữ nào khác. Bản thảo thích hợp, nên chứa các phần sau theo thứ tự: Tiêu đề, Tác giả, Liên kết tác giả, Địa chỉ email của tác giả tương ứng, Tóm tắt, Từ khóa, Danh pháp (nếu có), Giới thiệu, Thử nghiệm, Lý thuyết, Kết quả và thảo luận, Kết luận, Xung đột quan tâm, Lời cảm ơn (nếu có), Tài liệu tham khảo, Phụ lục (nếu có). Bản xuất bản trước phải được định dạng theo Mẫu (phiên bản MS-Word).\\n2. Bài báo tổng quan:\\nNgoài các bài phê bình được mời, các bài phê bình tài liệu, bài phê bình có hệ thống và bài phê bình sẽ được chấp nhận để xem xét. Bản thảo cần được soạn thảo và sắp xếp theo trình tự yêu cầu: Tên sách, Tên tác giả, Liên kết, Địa chỉ email, Tóm tắt, Từ khóa, Nội dung chính, Kết luận, Xung đột lợi ích, Lời cảm ơn (nếu có), Tài liệu tham khảo. Mặc dù, cấu trúc văn bản chính có thể thay đổi dựa trên các chủ đề phụ của bài đánh giá, các bài báo nên được định dạng theo các Mẫu phù hợp như các bài báo nghiên cứu.\\n\"}]}",{"VOID":824},"YPoBvsIAAAAJ",[],[],[],"https:\u002F\u002Fsj.hpu2.edu.vn\u002Findex.php\u002Fjournal","\u002Fapi\u002Fpublic\u002Ffile\u002Fpublisher\u002F954132b5-ca74-461c-b819-45ad6e49a404\u002F2790ef1d0a7d7a40a504c2fc1647f670.jpg",{"impactFactor":23,"impactFactorByYear":831,"i10Index":23,"i10IndexLast5Year":23,"totalPublication":430,"totalPublicationByYear":833,"totalCitation":113,"totalCitationByYear":834,"totalCitationPerPublication":622,"totalCitationPerPublicationByYear":835,"hindexLast5Year":237,"hindex":237},{"2024":832},0.17,{"2022":112,"2023":382,"2024":252},{"2022":102,"2023":240,"2024":237},{"2022":275,"2023":328,"2024":271},{"impactFactor":22,"impactFactorByYear":22,"i10Index":103,"i10IndexLast5Year":103,"totalPublication":431,"totalPublicationByYear":837,"totalCitation":261,"totalCitationByYear":838,"totalCitationPerPublication":839,"totalCitationPerPublicationByYear":840,"hindexLast5Year":164,"hindex":164},{"0":237,"2022":113,"2023":112,"2024":183,"2025":107},{"2023":164,"2024":112,"2025":306,"2026":382},1.22,{"2023":227,"2024":441,"2025":841},4.56,{"id":843,"createTime":844,"updateTime":845,"relativeEntities":846,"slug":847,"properties":848,"entityType":20,"verifyStatus":147,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":183,"subjectFields":860,"manageAffiliations":861,"indexDatabases":869,"url":909,"thumbnailPath":22,"statistic":910,"gsStatistic":942,"type":124,"analyzePriority":22},"21ccdb34-414d-420f-8a60-a592a2fa848e","2023-05-29T10:42:53.358+00:00","2026-08-27T01:57:29.560+00:00",[],"Vietnam-Journal-of-Earth-Sciences",{"country":849,"eissn":850,"issn":852,"title":854,"introduce":856,"gsId":858},{"VOID":137},{"VOID":851},"26159783",{"VOID":853},"08667187",{"EN":855},"Vietnam Journal of Earth Sciences",{"EN":857},"Science of the Earth, formerly Vietnam Journal of Earth Sciences, is a peer-reviewed journal to publish high-quality articles on the entire range of earth sciences and the environment, focused on the Asia Pacific region and their correlations and connections to the globe. 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These maps are natural candidates to generalize the pentagram map, itself defined as the intersection of consecutive shortest diagonals of a convex polygon, and a completely integrable discretization of the Boussinesq equation. We conjecture that the r-AGD flow in m dimensions can be discretized using one (r−1)-dimensional subspace and r−1 different (m−1)-dimensional subspaces of \n                  \n                    \n                  \n                  $\\mathbb{RP}^{m}$\n                .",{"EN":971},"On Generalizations of the Pentagram Map: Discretizations of AGD Flows",{"VOID":973},"Adler, M.: On a trace functional for formal pseudo-differential operators and the symplectic structure of the KdV. Invent. Math. 50, 219–248 (1979)\nCalini, A., Ivey, T., Marí Beffa, G.: An integrable flow for starlike curves in centroaffine space (2012, submitted)\nDickson, R., Gesztesy, F., Unterkoer, K.: Algebro-geometric solutions of the Boussinesq hierarchy. Rev. Math. Phys. 11, 823–879 (1999)\nDrinfel’d, V.G., Sokolov, V.V.: Lie algebras and equations of Korteweg–de Vries type. In: Current Problems in Mathematics. Itogi Nauki i Tekhniki, vol. 24, pp. 81–180. Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform, Moscow (1984)\nFels, M., Olver, P.J.: Moving coframes. II. Regularization and theoretical foundations. Acta Appl. Math., 127–208 (1999)\nGel’fand, I.M., Dickey, L.A.: A family of Hamiltonian structures connected with integrable nonlinear differential equations. In: Gelfand, I.M. (ed.) Collected Papers, vol. 1. Springer, Berlin (1987)\nGekhtman, M., Shapiro, M., Tabachnikov, S., Vainshtein, A.: Higher pentagram maps, weighted directed networks, and cluster dynamics. Electron. Res. Announc. Math. Sci. 19, 1–17 (2012)\nHeredero, R., Lopez, A., Marí Beffa, G.: Invariant differential equations and the Adler–Gel’fand–Dikii bracket. J. Math. Phys. 38, 5720–5738 (1997)\nHubert, E.: Generation properties of differential invariants in the moving frame methods. Preprint http:\u002F\u002Fhal.inria.fr\u002Finria-00194528\u002Fen (2007)\nKhesin, B., Soloviev, F.: Integrability of higher pentagram maps (2012a). arXiv:1204.0756\nKhesin, B., Soloviev, F.: The pentagram map in higher dimensions and KdV flows (2012b). arXiv:1205.3744\nLobb, S.B., Nijhoff, F.W.: Lagrangian multiform structure for the lattice Gel’fand–Dikii hierarchy. J. Phys. A 43(7) (2010)\nMarí Beffa, G.: The theory of differential invariants and KdV Hamiltonian evolutions. Bull. Soc. Math. Fr. 127, 363–391 (1999)\nMarí Beffa, G.: Poisson geometry of differential invariants of curves in some nonsemisimple homogeneous spaces. Proc. Am. Math. Soc. 134, 779–791 (2006)\nMarí Beffa, G.: Geometric Hamiltonian structures on flat semisimple homogeneous manifolds, the Asian. J. Math. 12(1), 1–33 (2008)\nMarí Beffa, G.: On bi-Hamiltonian flows and their realizations as curves in real semisimple homogeneous manifolds. Pac. J. Math. 247(1), 163–188 (2010)\nOvsienko, V., Schwartz, R., Tabachnikov, S.: The pentagram map: a discrete integrable system. Commun. Math. Phys. 299, 409–446 (2010)\nOvsienko, V., Schwartz, R., Tabachnikov, S.: Liouville–Arnold Integrability of the pentagram map on closed polygons (2011). arXiv:1107.3633\nSchwartz, R.: The pentagram map is recurrent. J. Exp. Math. 10.4, 519–528 (2001)\nSchwartz, R.: Discrete monodromy, pentagrams and the method of condensation. J. Fixed Point Theory Appl. 3, 379–409 (2008)\nSchwartz, R., Tabachnikov, S.: The pentagram integrals for inscribed polygons. Electron. J. Combin. 18(1), 171 (2011)\nSoloviev, F.: Integrability of the pentagram map (2011). arXiv:1106.3950\nWilczynski, E.J.: Projective Differential Geometry of Curves and Ruled Surfaces. Teubner, Leipzig (1906)",{"VOID":975},"10.1007\u002Fs00332-012-9152-3","PUBLICATION","Auto Verify","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-012-9152-3",[980],{"id":981,"sortIndex":23,"researcher":22,"roles":982,"affiliations":984,"properties":996,"displayName":998,"givenName":22,"familyName":22},"48ec7fbb-0e70-4186-906f-8908c7f57a56",[983],"AUTHOR",[985],{"id":986,"sortIndex":23,"affiliation":987,"properties":993},"9dfd2840-f45a-42b8-b59d-1a88b83110fc",{"id":986,"createTime":22,"updateTime":22,"relativeEntities":988,"slug":22,"properties":989,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":992,"statistic":22},[],{"title":990},{"EN":991},"University of Wisconsin, Madison, United States",[],{"title":994},{"VI":995},"University of Wisconsin, Madison, USA",{"title":997},{"VI":998},"Gloria Marí Beffa","ARTICLE",{"url":978,"publisher":1001,"properties":1051},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1002,"slug":10,"properties":1003,"entityType":20,"verifyStatus":21,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":23,"subjectFields":1007,"manageAffiliations":1020,"indexDatabases":1031,"url":22,"thumbnailPath":22,"statistic":1046,"gsStatistic":22,"type":124,"analyzePriority":22},[],{"issn":1004,"title":1005,"eissn":1006},{"VOID":15},{"EN":17},{"VOID":13},[1008,1012,1016],{"id":26,"createTime":22,"updateTime":22,"relativeEntities":1009,"label":1010,"description":1011,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":29},{},{"id":32,"createTime":22,"updateTime":22,"relativeEntities":1013,"label":1014,"description":1015,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":35},{},{"id":38,"createTime":22,"updateTime":22,"relativeEntities":1017,"label":1018,"description":1019,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":41},{},[1021,1026],{"id":45,"createTime":22,"updateTime":22,"relativeEntities":1022,"slug":22,"properties":1023,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1025,"statistic":22},[],{"title":1024},{"EN":49},[],{"id":52,"createTime":22,"updateTime":22,"relativeEntities":1027,"slug":22,"properties":1028,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1030,"statistic":22},[],{"title":1029},{"EN":56},[58],[1032,1039],{"id":61,"indexDatabase":1033,"url":74,"indexYears":22,"academicFieldIds":1038,"indexDatabaseRanking":22},{"id":63,"createTime":22,"updateTime":22,"relativeEntities":1034,"label":1035,"description":1036,"key":70,"publicationTags":1037,"standard":22},[],{"EN":66,"VI":66},{"EN":68,"VI":69},[72,73],[76,77,78],{"id":80,"indexDatabase":1040,"url":91,"indexYears":92,"academicFieldIds":1045,"indexDatabaseRanking":97},{"id":82,"createTime":22,"updateTime":22,"relativeEntities":1041,"label":1042,"description":1043,"key":88,"publicationTags":1044,"standard":22},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95,96],{"impactFactor":23,"impactFactorByYear":1047,"i10Index":23,"i10IndexLast5Year":23,"totalPublication":100,"totalPublicationByYear":1048,"totalCitation":23,"totalCitationByYear":1049,"totalCitationPerPublication":23,"totalCitationPerPublicationByYear":1050,"hindexLast5Year":23,"hindex":23},{},{"1991":102,"1992":103,"1993":104,"1994":105,"1995":106,"1996":107,"1997":108,"1998":106,"1999":106,"2000":109,"2001":110,"2002":102,"2003":104,"2004":106,"2005":109,"2006":102,"2007":111,"2008":107,"2009":104,"2010":105,"2011":106,"2012":112,"2013":111,"2014":113,"2015":114,"2016":115,"2017":116,"2018":115,"2019":117,"2020":118,"2021":119,"2022":120,"2023":121,"2024":107},{},{},{"pages":1052,"volume":1054},{"VOID":1053},"303-334",{"VOID":1055},"23","2012-12-13",2012,[72,97],false,{"id":1061,"createTime":1062,"updateTime":1063,"relativeEntities":1064,"slug":1065,"properties":1066,"entityType":976,"verifyStatus":147,"verifyTime":1063,"verifyNote":977,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":1075,"fullTextUrl":22,"authors":1076,"publicationType":999,"publisherRelationship":1101,"citationCount":22,"citationInfo":22,"publishDate":1157,"publishYear":1158,"citationAnalyzeStatus":21,"lastCitationAnalyze":22,"indexDatabases":1159,"openAccess":22,"references":22,"isForceReanalyzing":1059},"002135be-7b3c-4b58-86a2-ef917b5e079b","2024-01-26T14:59:47.641+00:00","2024-12-11T03:36:43.427+00:00",[],"Analysis-and-Optimal-Velocity-Control-of-a-Stochastic-Convective-Cahn-Hilliard-Equation",{"abstract":1067,"title":1069,"references":1071,"doi":1073},{"EN":1068},"A Cahn–Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving fluid, and accounts for the randomness appearing at the microscopic level both in the phase-separation itself and in the flow-inducing process. The call for a random component in the convection term stems naturally from applications, as the fluid’s stirring procedure is usually caused by mechanical or magnetic devices. Well-posedness of the state system is addressed, and optimisation of a standard tracking type cost with respect to the velocity control is then studied. Existence of optimal controls is proved, and the Gâteaux–Fréchet differentiability of the control-to-state map is shown. Lastly, the corresponding adjoint backward problem is analysed, and the first-order necessary conditions for optimality are derived in terms of a variational inequality involving the intrinsic adjoint variables.",{"EN":1070},"Analysis and Optimal Velocity Control of a Stochastic Convective Cahn–Hilliard Equation",{"VOID":1072},"Abels, H.: On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Arch. Ration. Mech. Anal. 194(2), 463–506 (2009)\nAntonopoulou, D.C., Karali, G., Millet, A.: Existence and regularity of solution for a stochastic Cahn–Hilliard\u002FAllen–Cahn equation with unbounded noise diffusion. J. Differ. Equ. 260(3), 2383–2417 (2016)\nBarbu, V.: Nonlinear differential equations of monotone types in Banach spaces. Springer Monographs in Mathematics. Springer, New York (2010)\nBarbu, V., Röckner, M., Zhang, D.: Optimal bilinear control of nonlinear stochastic Schrödinger equations driven by linear multiplicative noise. Ann. Probab. 46(4), 1957–1999 (2018)\nBauzet, C., Bonetti, E., Bonfanti, G., Lebon, F., Vallet, G.: A global existence and uniqueness result for a stochastic Allen–Cahn equation with constraint. Math. Methods Appl. Sci. 40(14), 5241–5261 (2017)\nBertacco, F.: Stochastic Allen-Cahn equation with logarithmic potential. Nonlinear Anal. (2021). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.na.2020.112122\nBinder, K.: Kinetics of phase separation. In: Arnold, L., Lefever, R. (eds.) Stochastic Nonlinear Systems in Physics, Chemistry, and Biology, pp. 62–71. Springer, Berlin (1981)\nBlömker, D., Maier-Paape, S., Wanner, T.: Spinodal decomposition for the Cahn–Hilliard–Cook equation. Commun. Math. Phys. 223(3), 553–582 (2001)\nBlömker, D., Maier-Paape, S., Wanner, T.: Second phase spinodal decomposition for the Cahn–Hilliard–Cook equation. Trans. Am. Math. Soc. 360(1), 449–489 (2008)\nBlömker, D., Sander, E., Wanner, T.: Degenerate nucleation in the Cahn–Hilliard–Cook model. SIAM J. Appl. 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Optim. 70(1), 61–82 (2014)",{"VOID":1074},"10.1007\u002Fs00332-021-09702-8","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-021-09702-8",[1077],{"id":1078,"sortIndex":23,"researcher":22,"roles":1079,"affiliations":1080,"properties":1098,"displayName":1100,"givenName":22,"familyName":22},"007d31c9-9900-40a2-9d45-0a0f2b883cda",[983],[1081,1089],{"id":1082,"sortIndex":23,"affiliation":1083,"properties":22},"20a63b64-30cd-40ba-a748-0b0bc3a13867",{"id":1082,"createTime":22,"updateTime":22,"relativeEntities":1084,"slug":22,"properties":1085,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1088,"statistic":22},[],{"title":1086},{"VI":1087},"Faculty of Mathematics, University of Vienna, Vienna, Austria",[],{"id":1090,"sortIndex":159,"affiliation":1091,"properties":1097},"c574c74f-d43c-4465-a246-2cd9c9eee45f",{"id":1090,"createTime":22,"updateTime":22,"relativeEntities":1092,"slug":22,"properties":1093,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1096,"statistic":22},[],{"title":1094},{"EN":1095},"Department of Mathematics, Politecnico di Milano, Milan, Italy",[],{},{"title":1099},{"VI":1100},"Luca Scarpa",{"url":1075,"publisher":1102,"properties":1152},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1103,"slug":10,"properties":1104,"entityType":20,"verifyStatus":21,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":23,"subjectFields":1108,"manageAffiliations":1121,"indexDatabases":1132,"url":22,"thumbnailPath":22,"statistic":1147,"gsStatistic":22,"type":124,"analyzePriority":22},[],{"issn":1105,"title":1106,"eissn":1107},{"VOID":15},{"EN":17},{"VOID":13},[1109,1113,1117],{"id":26,"createTime":22,"updateTime":22,"relativeEntities":1110,"label":1111,"description":1112,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":29},{},{"id":32,"createTime":22,"updateTime":22,"relativeEntities":1114,"label":1115,"description":1116,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":35},{},{"id":38,"createTime":22,"updateTime":22,"relativeEntities":1118,"label":1119,"description":1120,"parentId":22,"standard":22,"scholarHubFieldId":22},[],{"EN":41},{},[1122,1127],{"id":45,"createTime":22,"updateTime":22,"relativeEntities":1123,"slug":22,"properties":1124,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1126,"statistic":22},[],{"title":1125},{"EN":49},[],{"id":52,"createTime":22,"updateTime":22,"relativeEntities":1128,"slug":22,"properties":1129,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1131,"statistic":22},[],{"title":1130},{"EN":56},[58],[1133,1140],{"id":61,"indexDatabase":1134,"url":74,"indexYears":22,"academicFieldIds":1139,"indexDatabaseRanking":22},{"id":63,"createTime":22,"updateTime":22,"relativeEntities":1135,"label":1136,"description":1137,"key":70,"publicationTags":1138,"standard":22},[],{"EN":66,"VI":66},{"EN":68,"VI":69},[72,73],[76,77,78],{"id":80,"indexDatabase":1141,"url":91,"indexYears":92,"academicFieldIds":1146,"indexDatabaseRanking":97},{"id":82,"createTime":22,"updateTime":22,"relativeEntities":1142,"label":1143,"description":1144,"key":88,"publicationTags":1145,"standard":22},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95,96],{"impactFactor":23,"impactFactorByYear":1148,"i10Index":23,"i10IndexLast5Year":23,"totalPublication":100,"totalPublicationByYear":1149,"totalCitation":23,"totalCitationByYear":1150,"totalCitationPerPublication":23,"totalCitationPerPublicationByYear":1151,"hindexLast5Year":23,"hindex":23},{},{"1991":102,"1992":103,"1993":104,"1994":105,"1995":106,"1996":107,"1997":108,"1998":106,"1999":106,"2000":109,"2001":110,"2002":102,"2003":104,"2004":106,"2005":109,"2006":102,"2007":111,"2008":107,"2009":104,"2010":105,"2011":106,"2012":112,"2013":111,"2014":113,"2015":114,"2016":115,"2017":116,"2018":115,"2019":117,"2020":118,"2021":119,"2022":120,"2023":121,"2024":107},{},{},{"pages":1153,"volume":1155},{"VOID":1154},"1-57",{"VOID":1156},"31","2021-04-03",2021,[72,97],{"id":1161,"createTime":1162,"updateTime":1163,"relativeEntities":1164,"slug":1165,"properties":1166,"entityType":976,"verifyStatus":147,"verifyTime":1163,"verifyNote":977,"languages":22,"translateLanguages":22,"viewCount":23,"primaryUrl":1175,"fullTextUrl":22,"authors":1176,"publicationType":999,"publisherRelationship":1231,"citationCount":22,"citationInfo":22,"publishDate":1287,"publishYear":1288,"citationAnalyzeStatus":21,"lastCitationAnalyze":22,"indexDatabases":1289,"openAccess":22,"references":22,"isForceReanalyzing":1059},"0041255b-3394-49e3-8a1c-5d4ae35697af","2023-12-06T04:42:24.518+00:00","2024-12-17T00:27:56.934+00:00",[],"A-Homogenized-Bending-Theory-for-Prestrained-Plates",{"abstract":1167,"title":1169,"references":1171,"doi":1173},{"EN":1168},"The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium—a property that makes such objects relevant for the fabrication of active and functional materials. In this paper we study microheterogeneous, prestrained plates that feature non-flat equilibrium shapes. Our goal is to understand the relation between the properties of the prestrained microstructure and the global shape of the plate in mechanical equilibrium. To this end, we consider a three-dimensional, nonlinear elasticity model that describes a periodic material that occupies a domain with small thickness. We consider a spatially periodic prestrain described in the form of a multiplicative decomposition of the deformation gradient. By simultaneous homogenization and dimension reduction, we rigorously derive an effective plate model as a \n                \n                  \n                \n                $$\\Gamma $$\n                \n              -limit for vanishing thickness and period. That limit has the form of a nonlinear bending energy with an emergent spontaneous curvature term. The homogenized properties of the bending model (bending stiffness and spontaneous curvature) are characterized by corrector problems. For a model composite—a prestrained laminate composed of isotropic materials—we investigate the dependence of the homogenized properties on the parameters of the model composite. Secondly, we investigate the relation between the parameters of the model composite and the set of shapes with minimal bending energy. Our study reveals a rather complex dependence of these shapes on the composite parameters. For instance, the curvature and principal directions of these shapes depend on the parameters in a nonlinear and discontinuous way; for certain parameter regions we observe uniqueness and non-uniqueness of the shapes. We also observe size effects: The geometries of the shapes depend on the aspect ratio between the plate thickness and the composite period. As a second application of our theory, we study a problem of shape programming: We prove that any target shape (parametrized by a bending deformation) can be obtained (up to a small tolerance) as an energy minimizer of a composite plate, which is simple in the sense that the plate consists of only finitely many grains that are filled with a parametrized composite with a single degree of freedom.",{"EN":1170},"A Homogenized Bending Theory for Prestrained Plates",{"VOID":1172},"Agostiniani, V., DeSimone, A.: Dimension reduction via \\(\\Gamma \\)-convergence for soft active materials. Meccanica 52(14), 3457–3470 (2017)\nAgostiniani, V., DeSimone, A.: Rigorous derivation of active plate models for thin sheets of nematic elastomers. Math. Mech. Solids 25(10), 1804–1830 (2020)\nAgostiniani, V., DeSimone, A., Koumatos, K.: Shape programming for narrow ribbons of nematic elastomers. J. Elast. 127(1), 1–24 (2017)\nAllaire, G.: Homogenization and two-scale convergence. SIAM J. Math. Anal. 23(6), 1482–1518 (1992)\nBartels, S.: Approximation of large bending isometries with discrete Kirchhoff triangles. SIAM J. Numer. Anal. 51(1), 516–525 (2013)\nBartels, S.: Finite element approximation of large bending isometries. Numer. Math. 124(3), 415–440 (2013)\nBartels, S., Bonito, A., Nochetto, R.H.: Bilayer plates: Model reduction, \\(\\Gamma \\)-convergent finite element approximation, and discrete gradient flow. Commun. Pure Appl. Math. 70(3), 547–589 (2017)\nBartels, S., Griehl, M., Neukamm, S., Padilla-Garza, D., Palus, C.: A nonlinear bending theory for nematic LCE plates (2022). Preprint arXiv:2203.04010\nBauer, R., Neukamm, S., Schäffner, M.: Derivation of a homogenized bending-torsion theory for rods with micro-heterogeneous prestrain. J. Elast. 141(1), 109–145 (2020)\nBhattacharya, K., Lewicka, M., Schäffner, M.: Plates with incompatible prestrain. Arch. Ration. Mech. Anal. 221(1), 143–181 (2016)\nBlatt, M., Burchardt, A., Dedner, A., Engwer, Ch., Fahlke, J., Flemisch, B., Gersbacher, Ch., Gräser, C., Gruber, F., Grüninger, Ch., Kempf, D., Klöfkorn, R., Malkmus, T., Müthing, S., Nolte, M., Piatkowski, M., Sander, O.: The distributed and unified numerics environment, version 2.4. Arch. Numer. Softw. 4(100), 13–29 (2016). https:\u002F\u002Fdoi.org\u002F10.11588\u002Fans.2016.100.26526 ISSN 2197-8263\nBonito, A., Guignard, D., Nochetto, R., Yang, S.: Numerical analysis of the LDG method for large deformations of prestrained plates. Preprint arXiv:2106.13877 (2021a)\nBonito, A., Nochetto, R.H., Ntogkas, D.: DG approach to large bending plate deformations with isometry constraint. Math. Models Methods Appl. Sci. 31(01), 133–175 (2021)\nBonito, A., Guignard, D., Nochetto, R.H., Yang, S.: LDG approximation of large deformations of prestrained plates. J. Comput. Phys. 448, 110719 (2022)\nBukal, M., Velčić, I.: On the simultaneous homogenization and dimension reduction in elasticity and locality of \\(\\Gamma \\)-closure. Calc. Var. Partial. Differ. Equ. 56(3), 59 (2017)\nCherdantsev, M., Cherednichenko, K.: Bending of thin periodic plates. Calc. Var. Partial. Differ. Equ. 54(4), 4079–4117 (2015)\nCiarlet, P.G., Larsonneur, F.: On the recovery of a surface with prescribed first and second fundamental forms. Journal de mathématiques pures et appliquées 81(2), 167–185 (2002)\nde Delgado, M.B., Schmidt, B.: Energy minimising configurations of pre-strained multilayers. J. Elast. 140(2), 303–335 (2020)\nde Benito Delgado, M., Schmidt, B.: A hierarchy of multilayered plate models. ESAIM Control Optim. Calc. Var. 27, S16 (2021)\nEckart, C.: The thermodynamics of irreversible processes: iii: relativistic theory of the simple fluid. Phys. Rev. 58(10), 919 (1940)\nFlory, P.J., Rehner, J., Jr.: Statistical mechanics of cross-linked polymer networks i: rubberlike elasticity. J. Chem. Phys. 11(11), 512–520 (1943)\nFriesecke, G., James, R.D., Müller, S.: A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Commun. Pure Appl. Math. J. Issued Courant Inst. Math. Sci. 55(11), 1461–1506 (2002)\nFriesecke, G., James, R.D., Müller, S.: A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Arch. Ration. Mech. Anal. 180(2), 183–236 (2006)\nGe, H.Q., Qi, J., Dunn, M.L.: Active materials by four-dimension printing. Appl. Phys. Lett. 103(13), 131901 (2013)\nGibiansky, L.V., Torquato, S.: Thermal expansion of isotropic multiphase composites and polycrystals. J. Mech. Phys. Solids 45(7), 1223–1252 (1997)\nGloria, A., Neukamm, S.: Commutability of homogenization and linearization at identity in finite elasticity and applications. Annales de l’IHP Analyse non linéaire 28(6), 941–964 (2011)\nHornung, P.: Approximation of flat w 2, 2 isometric immersions by smooth ones. Arch. Ration. Mech. Anal. 199(3), 1015–1067 (2011)\nHornung, P., Neukamm, S., Velčić, I.: Derivation of a homogenized nonlinear plate theory from 3d elasticity. Calc. Var. Partial. Differ. Equ. 51(3–4), 677–699 (2014)\nHornung, P., Pawelczyk, M., Velčić, I.: Stochastic homogenization of the bending plate model. J. Math. Anal. Appl. 458(2), 1236–1273 (2018)\nIonov, L.: Biomimetic hydrogel-based actuating systems. Adv. Funct. Mater. 23(36), 4555–4570 (2013)\nKlein, Y., Efrati, E., Sharon, E.: Shaping of elastic sheets by prescription of non-euclidean metrics. Science 315(5815), 1116–1120 (2007)\nKröner, E.: Allgemeine kontinuumstheorie der versetzungen und eigenspannungen. Arch. Ration. Mech. Anal. 4(1), 273 (1959)\nLee, E.H.: Elastic-plastic deformation at finite strains. J. Appl. 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Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 9(2), 253–295 (2010b)\nLewicka, M., Mora, M.G., Pakzad, M.R.: The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells. Arch. Ration. Mech. Anal. 200(3), 1023–1050 (2011)\nLewicka, M., Raoult, A., Ricciotti, D.: Plates with incompatible prestrain of high order. Annales de l’Institut Henri Poincaré C, Analyse non linéaire 34(7), 1883–1912 (2017)\nMohan, P., Yip, N.K., Yu, T.: Minimal energy configurations of bilayer plates as a polynomial optimization problem. Nonlinear Anal. 113034 (2022)\nMüller, S., Neukamm, S.: On the commutability of homogenization and linearization in finite elasticity. Arch. Ration. Mech. Anal. 201(2), 465–500 (2011)\nNeukamm, S.: Homogenization, linearization and dimension reduction in elasticity with variational methods. PhD thesis, Technische Universität München (2010)\nNeukamm, S.: Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from three-dimensional elasticity. Arch. Ration. Mech. Anal. 206(2), 645–706 (2012)\nNeukamm, S., Olbermann, H.: Homogenization of the nonlinear bending theory for plates. Calc. Var. Partial. Differ. Equ. 53(3–4), 719–753 (2015)\nNeukamm, S., Velčić, I.: Derivation of a homogenized von-karman plate theory from 3d nonlinear elasticity. Math. Models Methods Appl. Sci. 23(14), 2701–2748 (2013)\nNguetseng, G.: A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20(3), 608–623 (1989)\nPadilla-Garza, D.: Dimension reduction through gamma convergence for general prestrained thin elastic sheets. Calc. Var. Partial. Differ. Equ. 61(5), 1–40 (2022)\nPakzad, M.R.: On the sobolev space of isometric immersions. J. Differ. Geom. 66(1), 47–69 (2004)\nPlucinsky, P., Kowalski, B.A., White, T.J., Bhattacharya, K.: Patterning nonisometric origami in nematic elastomer sheets. Soft Matter 14(16), 3127–3134 (2018a)\nPlucinsky, P., Lemm, M., Bhattacharya, K.: Actuation of thin nematic elastomer sheets with controlled heterogeneity. Arch. Ration. Mech. Anal. 227(1), 149–214 (2018b)\nRumpf, M., Simon, S., Smoch, C.: Finite element approximation of large-scale isometric deformations of parametrized surfaces. Preprint arXiv:2110.13604 (2021)\nSander, O.: DUNE: The Distributed and Unified Numerics Environment. Lecture Notes in Computational Science and Engineering. Springer (2020). ISBN 9783030597023\nSchmidt, B.: Minimal energy configurations of strained multi-layers. Calc. Var. Partial. Differ. Equ. 30(4), 477–497 (2007)\nSchmidt, B.: Plate theory for stressed heterogeneous multilayers of finite bending energy. Journal de Mathématiques Pures et Appliquées 88(1), 107–122 (2007)\nSigmund, O., Torquato, S.: Design of materials with extreme thermal expansion using a three-phase topology optimization method. J. Mech. Phys. Solids 45(6), 1037–1067 (1997)\nTanaka, T., Fillmore, D.J.: Kinetics of swelling of gels. J. Chem. Phys. 70(3), 1214–1218 (1979)\nvan Manen, T., Janbaz, S., Zadpoor, A.A.: Programming the shape-shifting of flat soft matter. Mater. Today 21(2), 144–163 (2018)\nVelčić, I.: On the derivation of homogenized bending plate model. Calc. Var. Partial. Differ. Equ. 53(3), 561–586 (2015)\nVisintin, A.: Two-scale convergence of some integral functionals. Calc. Var. Partial. Differ. Equ. 29(2), 239–265 (2007)\nVujošević, L., Lubarda, V.A.: Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient. Theoret. Appl. Mech. 28–29, 379–399 (2002)\nWare, T.H., McConney, M.E., Wie, J.J., Tondiglia, V.P., White, T.J.: Voxelated liquid crystal elastomers. Science 347(6225), 982–984 (2015)\nWarner, M., Terentjev, E.M.: Liquid Crystal Elastomers, vol. 120. Oxford University Press (2007)",{"VOID":1174},"10.1007\u002Fs00332-022-09869-8","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs00332-022-09869-8",[1177,1192,1205,1218],{"id":1178,"sortIndex":23,"researcher":22,"roles":1179,"affiliations":1180,"properties":1189,"displayName":1191,"givenName":22,"familyName":22},"d7214549-2ec6-4287-82ed-289786ff32ba",[983],[1181],{"id":1182,"sortIndex":23,"affiliation":1183,"properties":22},"46cb2f49-3f17-4225-9434-1f865d6f14d2",{"id":1182,"createTime":22,"updateTime":22,"relativeEntities":1184,"slug":22,"properties":1185,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1188,"statistic":22},[],{"title":1186},{"VI":1187},"Faculty of Mathematics, Technische Universität Dresden, Dresden, Germany",[],{"title":1190},{"VI":1191},"Klaus 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this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape changes are prescribed as functions of time satisfying constraints ensuring that they result from the work of internal forces only: conditions necessary for the locomotion to be termed self-propelled. The net rigid motion of the body results from the exchange of momentum between these shape changes and the surrounding fluid. The aim of this paper is three-fold. First, it describes a rigorous framework for the study of animal locomotion in fluid. Our model differs from previous ones mostly in that the number of degrees of freedom related to the shape changes is infinite. The Euler–Lagrange equation is obtained by applying the least action principle to the system body fluid. The formalism of Analytic Mechanics provides a simple way to handle the strong coupling between the internal dynamics of the body causing the shape changes and the dynamics of the fluid. The Euler–Lagrange equation takes the form of a coupled system of ordinary differential equations (ODEs) and partial differential equations (PDEs). The existence and uniqueness of solutions for this system are rigorously proved. Second, we are interested in making clear the connection between shape changes and internal forces. Although classical, it can be quite surprising to select the shape changes to play the role of control because the internal forces they are due to seem to be a more natural and realistic choice. We prove that, when the number of degrees of freedom relating to the shape changes is finite, both choices are actually equivalent in the sense that there is a one-to-one relation between shape changes and internal forces. Third, we show how the control problem, consisting in associating with each shape change the resulting trajectory of the swimming body, can be analysed within the framework of geometric control theory. This allows us to take advantage of the powerful tools of differential geometry, such as the notion of Lie brackets or the Orbit Theorem and to obtain the first theoretical result (to our knowledge) of control for a swimming body in an ideal fluid. We derive some interesting and surprising tracking properties: For instance, for any given shape changes producing a net displacement in the fluid (say, moving forward), we prove that other shape changes arbitrarily close to the previous ones exist, which lead to a completely different motion (for instance, moving backward): This phenomenon will be called Moonwalking. Most of our results are illustrated by numerical examples.",{"EN":1300},"Locomotion and Control of a Self-Propelled Shape-Changing Body in a Fluid",{"VOID":1302},"Agrachev, A.A., Sachkov, Y.L.: Control Theory from the Geometric Viewpoint. Encyclopaedia of Mathematical Sciences, vol. 87. Springer, Berlin (2004). 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Sci. 442(1915), 273–299 (1993)\nMunnier, A.: On the self-displacement of deformable bodies in a potential fluid flow. Math. Models Methods Appl. Sci. 18(11), 1945–1981 (2008)\nMunnier, A.: Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalism. J. Nonlinear Sci. 19(6), 665–715 (2009)\nMunnier, A., Pinçon, B.: Locomotion of articulated bodies in an ideal fluid: 2d model with buoyancy, circulation and collisions. Math. Models Methods Appl. Sci. 20(10), 1899–1940 (2010)\nRudin, W.: Real and Complex Analysis, 3rd edn. McGraw-Hill, New York (1987)\nSan Martin, J., Scheid, J.F., Takahashi, T., Tucsnak, M.: An initial and boundary problem modeling fish-like swimming. Arch. Ration. Mech. Anal. 188(3), 429–455 (2008)\nSan Martín, J., Takahashi, T., Tucsnak, M.: A control theoretic approach to the swimming of microscopic organisms. Q. Appl. Math. 65(3), 405–424 (2007)\nShapere, A., Wilczek, F.: Geometry of self-propulsion at low Reynolds number. J. Fluid Mech. 198, 557–585 (1989)\nSparenberg, J.A.: Survey of the mathematical theory of fish locomotion. J. Eng. Math. 44(4), 395–448 (2002)\nSussmann, H.J.: Orbits of families of vector fields and integrability of distributions. Trans. Am. Math. Soc. 180, 171–188 (1973)\nTaylor, G.: Analysis of the swimming of microscopic organisms. Proc. R. Soc. Lond., Ser. A 209, 447–461 (1951)\nTaylor, G.: Analysis of the swimming of long and narrow animals. Proc. R. Soc. Lond., Ser. A 214, 158–183 (1952)\nTriantafyllou, M.S., Triantafyllou, G.S., Yue, D.K.P.: Hydrodynamics of fishlike swimming. In: Annual Review of Fluid Mechanics, vol. 32, pp. 33–53. Annual Reviews, Palo Alto (2000)\nWu, T.Y.: Mathematical biofluiddynamics and mechanophysiology of fish locomotion. Math. Methods Appl. Sci. 24(17–18), 1541–1564 (2001)\nZhu, Q., Wolfgang, M.J., Yue, D.K.P., Triantafyllou, M.S.: Three-dimensional flow structures and vorticity control in fish-like swimming. J. Fluid Mech. 468, 1–28 (2002)",{"VOID":1304},"10.1007\u002Fs00332-010-9084-8","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-010-9084-8",[1307,1331],{"id":1308,"sortIndex":23,"researcher":22,"roles":1309,"affiliations":1310,"properties":1328,"displayName":1330,"givenName":22,"familyName":22},"9ee7c40d-32ce-449f-92c2-0551c741fe3f",[983],[1311,1319],{"id":1312,"sortIndex":23,"affiliation":1313,"properties":22},"4e544ec4-8fd4-4f58-b6d8-738a36eee012",{"id":1312,"createTime":22,"updateTime":22,"relativeEntities":1314,"slug":22,"properties":1315,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1318,"statistic":22},[],{"title":1316},{"VI":1317},"Institut Élie Cartan, UMR 7502, Nancy-Université, CNRS, INRIA, Vandœuvre-lès-Nancy cedex, 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Function for Lax Operators with Algebraically Decaying Potentials",{"VOID":1420},"10.1007\u002Fs00332-005-0652-7",{"EN":1422},"We study the instability of algebraic solitons for integrable\nnonlinear equations in one spatial dimension that include modified\nKdV, focusing NLS, derivative NLS, and massive Thirring equations.\nWe develop the analysis of the Evans function that defines\neigenvalues in the corresponding Lax operators with algebraically\ndecaying potentials. The standard Evans function generically has\nsingularities in the essential spectrum, which may include embedded\neigenvalues with algebraically decaying eigenfunctions. We construct\na renormalized Evans function and study bifurcations of embedded\neigenvalues, when an algebraically decaying potential is perturbed\nby a generic potential with a faster decay at infinity. We show that\nthe bifurcation problem for embedded eigenvalues can be reduced to\ncubic or quadratic equations, depending on whether the algebraic\npotential decays to zero or approaches a nonzero constant. Roots of\nthe bifurcation equations define eigenvalues which correspond to\nnonlinear waves that are formed from unstable algebraic solitons. Our results provide precise information on the transformation of\nunstable algebraic solitons in the time-evolution problem associated\nwith the integrable nonlinear equation. Algebraic solitons of the\nmodified KdV equation are shown to transform to either travelling\nsolitons or time-periodic breathers, depending on the sign of the\nperturbation. Algebraic solitons of the derivative NLS and massive\nThirring equations are shown to transform to travelling and rotating\nsolitons for either sign of the perturbation. Finally, algebraic\nhomoclinic orbits of the focusing NLS equation are destroyed by the\nperturbation and evolve into time-periodic space-decaying solutions.","Author affiliation is blank","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-005-0652-7",[1426,1441,1454],{"id":1427,"sortIndex":23,"researcher":22,"roles":1428,"affiliations":1429,"properties":1438,"displayName":1440,"givenName":22,"familyName":22},"de3622dc-5f98-473e-830b-2d9420b0291f",[983],[1430],{"id":1431,"sortIndex":23,"affiliation":1432,"properties":22},"370c3bc2-f6e1-42c3-9804-8c9168de4a62",{"id":1431,"createTime":22,"updateTime":22,"relativeEntities":1433,"slug":22,"properties":1434,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1437,"statistic":22},[],{"title":1435},{"VI":1436},"Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA",[],{"title":1439},{"VI":1440},"Martin Klaus",{"id":1442,"sortIndex":159,"researcher":22,"roles":1443,"affiliations":1444,"properties":1451,"displayName":1453,"givenName":22,"familyName":22},"6dd3e965-3a10-46df-8a9e-2c38b19447c0",[983],[1445],{"id":1431,"sortIndex":23,"affiliation":1446,"properties":22},{"id":1431,"createTime":22,"updateTime":22,"relativeEntities":1447,"slug":22,"properties":1448,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1450,"statistic":22},[],{"title":1449},{"VI":1436},[],{"title":1452},{"VI":1453},"Dmitry E. 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The locomotion action is inspired by the coordinated motion of coupling elements that mimic the legs of millipedes and centipedes, whose leg-to-ground contact can be described as a peristaltic displacement wave. The multi-legged structure is crucial in providing redundancy and robustness in the interaction with unstructured environments and terrains. A Lagrangian approach is used to derive the governing equations of the system that couple locomotion and shape morphing. Features and limitations of the model are illustrated with numerical simulations.",{"EN":1528},"Peristaltic Wave Locomotion and Shape Morphing with a Millipede Inspired System",{"VOID":1530},"Abdelnour, K., Stinchcombe, A., Porfiri, M., Zhang, J., Childress, S.: Bio-inspired hovering and locomotion via wirelessly powered ionic polymer metal composites. In: Proceedings SPIE 7975, Bioinspiration Biomim. Bioreplication, pp. 79750R–79750R-9 (2011). doi:10.1117\u002F12.881737\nAvirovik, D., Butenhoff, B., Priya, S.: Millipede-inspired locomotion through novel U-shaped piezoelectric motors. Smart Mater. Str. 23(3) (2014). doi:10.1088\u002F0964-1726\u002F23\u002F3\u002F037001\nAyali, A., Gelman, S., Tytell, E.D., Cohen, A.H.: Lateral-line activity during undulatory body motions suggests a feedback link in closed-loop control of sea lamprey swimming. Can. J. Zool. Rev. Can. De Zool. 87(8), 671–683 (2009). doi:10.1139\u002FZ09-050\nBender, C.M., Orszag, S.A.: Advanced Mathematical Methods for Scientists and Engineers I. Springer, New York (1999)\nBrenner, S., Scott, R.: The mathematical Theory of Finite Element Methods. Text in Applied Mathematics, 3rd edn. Springer, New York (2008)\nCahn, R.W.: Biomimetics: biologically inspired technologies. Nature 444(7118), 425–426 (2006). doi:10.1038\u002F444425b\nCapinera, J.L.: Insects and Wildlife: Arthropods and their Relationships with Wild Vertebrate Animals. Wiley-Blackwell, Hoboken (2010)\nCha, Y., Verotti, M., Walcott, H., Peterson, S.D., Porfiri, M.: Energy harvesting from the tail beating of a carangiform swimmer using ionic polymer–metal composites. Bioinspiration Biomim. 8(3) (2013) doi: 10.1088\u002F1748-3182\u002F8\u002F3\u002F036003\nChadwick, P.: Continuum Mechanics: Concise Theory and Problems, 1st edn. Dover Publications, Mineola (1998)\nChen, L., Wang, Y., Ma, S., Li, B.: Analysis of traveling wave locomotion of snake robot. In: Proceedings 2003 IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, vol. 1, 2, pp. 365–369 (2003)\nChirikjian, G., Burdick, J.: Kinematics of hyper-redundant manipulators. In: Proceedings of ASME Conference of Mechanism, pp. 391–396 (1990)\nClement, W.I., Inigo, R.M.: Design of a snake-like manipulator. J. Robot. Autono. Sys. 6, 265–282 (1990)\nColgate, J.E., Lynch, K.M.: Mechanics and control of swimming: a review. IEEE J. Ocean. Eng. 29(3), 660–673 (2004). doi:10.1109\u002FJOE.2004.833208\nDaltorio, K.A., Boxerbaum, A.S., Horchler, A.D., Shaw, K.M., Chiel, H.J., Quinn, R.D.: Efficient worm-like locomotion: slip and control of soft-bodied peristaltic robots. Bioinspiration Biomim. (2013). doi:10.1088\u002F1748-3182\u002F8\u002F3\u002F035003\nDandrea-Novel, B., Bastin, G., Campion, G.: Modelling and control of non-holonomic wheeled mobile robots. In: 1991 IEEE International Conference on Robotics and Automation, Sacramento, CA, Apr 09–11, 1991, vol. 1–3, pp. 1130–1135 (1991)\nDario, P., Ciarletta, P., Menciassi, A., Kim, B.: Modelling and experimental validation of the locomotion of endoscopic robots in the colon. In: Siciliano, B., Dario, P (eds.) Experimental Robotics VIII, Springer Tracts in Advanced Robotics Sant’Angelo, Italy, Jul 08–11, 2002, vol. 5, pp. 445–453 (2003). 8th International Symposium on Experimental Robotics (ISER 02)\nDrago, L., Fusco, G., Garollo, E., Minelli, A.: Structural aspects of leg-to-gonopod metamorphosis in male helminthomorph millipedes (Diplopoda). Front. Zool. (2011). doi:10.1186\u002F1742-9994-8-19\nEnghpff, H.: Adaptive radiation of the millipede genus cylindroiulus on madeira: habitat, body size, and morphology (Diplopoda, Julida: Julidae). Rev. Ecol. Soil. Biol. 20(3), 403–415 (1983)\nEsser, B., Huston, D.: Versatile robotic platform for structural health monitoring and surveillance. Smart Struct. Syst. 1(4), 325–338 (2005)\nFattahi, J., Spinello, D.: Path following and shape morphing with a continuous slender mechanism. ASME J. Dyn. Syst. Meas. Control. (2015). doi:10.1115\u002F1.4030816\nGolubitsky, M., Stewart, I., Buono, P., Collins, J.: A modular network for legged locomotion. Phys. D 115(1–2), 56–72 (1998). doi:10.1016\u002FS0167-2789(97)00222-4\nGonzález-Mora, J., Rodríguez-Hernández, A., Rodríguez-Ramos, L., Díaz-Saco, L., Sosa, N.: Development of a new space perception system for blind people, based on the creation of a virtual acoustic space. In: Mira, J., Sánchez-Andrés, J. (eds.) Engineering Applications of Bio-Inspired Artificial Neural Networks Lecture Notes in Computer Science, vol. 1607, pp. 321–330. Springer, Heidelberg (1999). doi:10.1007\u002FBFb0100499\nGray, J., Lissmann, H.: Studies in animal locomotion VII. Locomotory reflexes in the earthworm. J. Exp. Biol. 15(4), 506–517 (1938)\nHirose, S., Ikuta, K., Tsukamoto, M., Sato, K.: Considerations in design of the actuator based in the shape memory effect. In: Proceedings of the 6th IGToMM Congress, pp. 1549–1556 (1987)\nHirose, S., Umetani, Y.: Kinematic control of an active cord mechanism with tactile sensors. In: Proceedings of the CISM-ZFToM Symposium on Theory and Practice of Robots and Manipulators, pp. 241–252 (1976)\nHirose, S., Umetani, Y.: The kinematics and control of a soft gripper for the handling of living and fragile objects. In: Proceedings of the IGToMM Congress, pp. 1549–1556 (1979)\nHopkins, J.K., Spranklin, B.W., Gupta, S.K.: A survey of snake-inspired robot designs. Bioinspiration Biomim. (2009). doi:10.1088\u002F1748-3182\u002F4\u002F2\u002F021001\nHuston, D., Miller, J., Esser, B.: Adaptive, robotic and mobile sensor systems for structural assessment. In: Liu, SC (ed.) Smart Structures and Materials 2004: Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, Proceedings of SPIE-The International Society for Optical Engineering, vol. 5391, pp. 189–196 (2004). doi:10.1117\u002F12.546606\nJayne, B.: Kinematics of terrestrial snake locomotion. 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Interface 11(95), 20140,205 (2014)\nLa Spina, G., Sfakiotakis, M., Tsakiris, D.P., Menciassi, A., Dario, P.: Polychaete-like undulatory robotic locomotion in unstructured substrates. IEEE Trans. Robot. 23(6), 1200–1212 (2007). doi:10.1109\u002FTRO.2007.909791\nLiu, K., Tian, Y., Jiang, L.: Bio-inspired superoleophobic and smart materials: design, fabrication, and application. Prog. Mater. Sci. 58(4), 503–564 (2013). doi:10.1016\u002Fj.pmatsci.2012.11.001\nMahjoubi, H., Byl, K.: Modeling synchronous muscle function in insect flight: a bio-inspired approach to force control in flapping-wing MAVs. J. Intell. Robot. Syst. 70(1–4, SI), 181–202 (2013). doi:10.1007\u002Fs10846-012-9746-x\nMajkut, L.: Free and forced vibrations of Timoshenko beam described by single differential equation. J. Theor. Appl. Mech. 47(1), 193–210 (2009)\nMarras, S., Porfiri, M.: Fish and robots swimming together: attraction towards the robot demands biomimetic locomotion. J. R. Soc. 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We define the sticky symmetry group of the cluster as the set of permutations and inversions of the spheres which preserve adjacency and can be realized by continuous deformations of the cluster that do not change the set of contacts or cause particles to overlap. The symmetry number is the size of the sticky symmetry group. We introduce a numerical algorithm to compute the sticky symmetry group and symmetry number, and show it works well on several test cases. Furthermore, we show that once the sticky symmetry group has been calculated for indistinguishable spheres, the symmetry group for partially distinguishable spheres (those with nonidentical interactions) can be efficiently obtained without repeating the laborious parts of the computations. We use our algorithm to calculate the partition functions of every possible connected cluster of six identical sticky spheres, generating data that may be used to design interactions between spheres so they self-assemble into a desired structure.",{"EN":1633},"Calculating the Symmetry Number of Flexible Sphere Clusters",{"VOID":1635},"Arkus, N., Minoharan, V., Brenner, M.: Minimal energy clusters of hard spheres with short range attractions. Phys. Rev. Lett. 103, 118303 (2009)\nAsimow, L., Roth, B.: The rigidity of graphs. Trans. Am. Math. Soc. 245, 279–289 (1978)\nBalasubramanian, K.: Graph theoretical perception of molecular symmetry. Chem. Phys. Lett. 232, 415–423 (1995)\nBolhuis, P.G., Chandler, D., Dellago, C., Geissler, P.L.: Transition path sampling: throwing ropes over rough mountain passes, in the dark. Ann. Rev. Phys. Chem. 53(1), 291–318 (2002)\nCarlsson, G., Gorham, J., Kahle, M., Mason, J.: Computational topology for configuration spaces of hard disks. Phys. Rev. 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Springer, New York (2006)\nPerry, R.W., Holmes-Cerfon, M.C., Brenner, M.P., Manoharan, V.N.: Two-dimensional clusters of colloidal spheres: ground states, excited states, and structural rearrangements. Phys. Rev. Lett. 114(22), 228301–5 (2015)\nRogers, W.B., Shih, W.M., Manoharan, V.N.: Using DNA to program the self-assembly of colloidal nanoparticles and microparticles. Nat. Rev. Mater. 1(3), 10760–14 (2016)\nSethna, J.P.: Statistical Mechanics: Entropy, Order Parameters and Complexity. Oxford University Press, Oxford (2006)\nSitharam, M., Vince, A., Wang, M., Bona, M.: Symmetry in sphere-based assembly configuration spaces. Symmetry 8, 5 (2016)\nSwendsen, R.H.: Statistical mechanics of colloids and Boltzmann’s definition of the entropy. Am. J. Phys. 74(3), 187–190 (2006)\nThe GAP Group: GAP—Groups, Algorithms, and Programming, Version 4.8.10 (2018)\nWales, D.J.: Energy Landscapes. Cambridge University Press, Cambridge (2003)\nWales, D.J., Salamon, P.: Observation time scale, free-energy landscapes, and molecular symmetry. Proc. Natl. Acad. Sci. 111(2), 617–622 (2014)\nWang, Y., Wang, Y., Zheng, X., Ducrot, E., Yodh, J.S., Weck, M., Pine, D.J.: Crystallization of DNA-coated colloids. Nat. Commun. 6, 1–8 (2015)\nYoung, G., Householder, A.S.: Discussion of a set of points in terms of their mutual distances. Psychometrika 3(1), 19–22 (1938)\nZappa, E., Holmes-Cerfon, M., Goodman, J.: Monte Carlo on manifolds: sampling densities and integrating functions. Commun. Pure Appl. Math. 71, 2609–2647 (2018)\nZeravcic, Z., Manoharan, V.N., Brenner, M.P.: Size limits of self-assembled colloidal structures made using specific interactions. Proc. Natl. Acad. 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paper uses data-driven operator theoretic approaches to explore the global phase space of a dynamical system. We defined conditions for discovering new invariant subsets in the state space of a dynamical system starting from an invariant subset based on the spectral properties of the Koopman operator. When the system evolution is known locally in several invariant subsets in the state space of a dynamical system, a phase space stitching result is derived that yields the global Koopman operator. Additionally, in the case of equivariant systems, a phase space stitching result is developed to identify the global Koopman operator using the symmetry properties between the invariant subsets of the dynamical system and time-series data from any one of the invariant subsets. Finally, these results are extended to topologically conjugate dynamical systems; in particular, the relation between the Koopman tuple of topologically conjugate systems is established. The proposed results are demonstrated on several second-order nonlinear dynamical systems including a bistable toggle switch. Our method elucidates a strategy for designing discovery experiments: experiment execution can be done in many steps, and models from different invariant subsets can be combined to approximate the global Koopman operator.",{"EN":1739},"Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis",{"VOID":1741},"Arbabi, H., Mezic, I.: Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. SIAM J. Appl. Dyn. Syst. 16(4), 2096–2126 (2017)\nArbabi, H., Mezić, I.: Study of dynamics in post-transient flows using koopman mode decomposition. Phys. Rev. Fluids 2(12), 124402 (2017)\nBagheri, S.: Koopman-mode decomposition of the cylinder wake. J. Fluid Mech. 726, 596–623 (2013)\nBakker, C., Nowak, K. E., Rosenthal, W. 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IEEE 2020, pp. 4551–4557 (2020)\nNetto, M., Mili, L.: A robust data-driven Koopman Kalman filter for power systems dynamic state estimation. IEEE Trans. Power Syst. 33(6), 7228–7237 (2018)\nPan, S.: Robust and interpretable learning for operator-theoretic modeling of non-linear dynamics, Ph.D. thesis (2021)\nPan, S., Duraisamy, K.: Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. SIAM J. Appl. Dyn. Syst. 19(1), 480–509 (2020)\nPetersen, K.E.: Ergodic Theory, vol. 2. Cambridge University Press (1989)\nProctor, J.L., Brunton, S.L., Kutz, J.N.: Dynamic mode decomposition with control. SIAM J. Appl. Dyn. Syst. 15(1), 142–161 (2016)\nRaak, F., Susuki, Y., Hikihara, T.: Data-driven partitioning of power networks via koopman mode analysis. IEEE Trans. Power Syst. 31(4), 2799–2808 (2015)\nRamos, J. J., Kutz, J. N.: Dynamic mode decomposition and sparse measurements for characterization and monitoring of power system disturbances, arXiv preprint arXiv:1906.03544 (2019)\nRowley, C.W., Mezić, I., Bagheri, S., Schlatter, P., Henningson, D.S.: Spectral analysis of nonlinear flows. J. Fluid Mech. 641, 115–127 (2009)\nSchmid, P.J.: Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech. 656, 5–28 (2010)\nSharma, A.S., Mezić, I., McKeon, B.J.: Correspondence between koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the navier-stokes equations. Phys. Rev. Fluids 1(3), 032402 (2016)\nSinha, S., Huang, B., Vaidya, U.: Robust approximation of Koopman operator and prediction in random dynamical systems. In: Annual American Control Conference (ACC). IEEE 2018, pp. 5491–5496 (2018)\nSinha, S., Nandanoori, S.P., Yeung, E.: Data driven online learning of power system dynamics. In: IEEE Power & Energy Society General Meeting (PESGM). 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IEEE 2018, pp. 337–344 (2018)\nYeung, E., Kim, J., Yuan, Y., Goncalves, J., Murray, R.M.: Data-driven network models for genetic circuits from time-series data with incomplete measurements. J. R. Soc. Interface 18(182), 20210413 (2021)\nZhang, H., Dawson, H., Rowley, C. W., Deem, E. A., Cattafesta, L. N.: Evaluating the accuracy of the dynamic mode decomposition, arXiv preprint arXiv:1710.00745 (2017)",{"VOID":1743},"10.1007\u002Fs00332-022-09851-4","2025-01-27T15:15:31.296+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-022-09851-4",[1747,1762,1775],{"id":1748,"sortIndex":23,"researcher":22,"roles":1749,"affiliations":1750,"properties":1759,"displayName":1761,"givenName":22,"familyName":22},"58e3ccc1-e2e1-4b15-9b11-56090df15170",[983],[1751],{"id":1752,"sortIndex":23,"affiliation":1753,"properties":22},"e3198821-fc38-4bb9-83f1-94cd0c153928",{"id":1752,"createTime":22,"updateTime":22,"relativeEntities":1754,"slug":22,"properties":1755,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1758,"statistic":22},[],{"title":1756},{"VI":1757},"Pacific Northwest National Laboratory, Richland, USA",[],{"title":1760},{"VI":1761},"Sai Pushpak 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this paper, we present a discrete model to illustrate how two pieces of information interact with online social networks and investigate the dynamics of discrete-time information diffusion model in three types: reverse type, intervention type and mutualistic type. It is found that the model has orbits with period 2, 4, 6, 8, 12, 16, 20, 30, quasiperiodic orbit, and undergoes heteroclinic bifurcation near 1:2 point, a homoclinic structure near 1:3 resonance point and an invariant cycle bifurcated by period 4 orbit near 1:4 resonance point. Moreover, in order to regulate information diffusion process and information security, we give two control strategies, the hybrid control method and the feedback controller of polynomial functions, to control chaos, flip bifurcation, 1:2, 1:3 and 1:4 resonances, respectively, in the two-dimensional discrete system.",{"EN":1858},"Codimension-Two Bifurcation, Chaos and Control in a Discrete-Time Information Diffusion Model",{"VOID":1860},"Agiza, H.N., ELabbasy, E.M., El-Metwally, H., Elsadany, A.A.: Chaotic dynamics of a discrete prey–predator model with Holling type II. Nonlinear Anal. Real World Appl. 10, 116–129 (2009)\nAlligood, K.T., Sauer, T.D., Yorke, J.A.: Chaos: An Introduction to Dynamical Systems. 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Chaos 14, 1683–1704 (2004)",{"VOID":1862},"10.1007\u002Fs00332-016-9323-8","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs00332-016-9323-8",[1865,1880],{"id":1866,"sortIndex":23,"researcher":22,"roles":1867,"affiliations":1868,"properties":1877,"displayName":1879,"givenName":22,"familyName":22},"813b0866-e394-439e-af81-81f56a7e427d",[983],[1869],{"id":1870,"sortIndex":23,"affiliation":1871,"properties":22},"79e0989f-e8b6-4543-8dc7-f04c91f29a1c",{"id":1870,"createTime":22,"updateTime":22,"relativeEntities":1872,"slug":22,"properties":1873,"entityType":22,"verifyStatus":22,"verifyTime":22,"verifyNote":22,"languages":22,"translateLanguages":22,"viewCount":22,"url":22,"parentIds":1876,"statistic":22},[],{"title":1874},{"VI":1875},"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, People’s Republic of China",[],{"title":1878},{"VI":1879},"Jingli 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present a flexible data-driven method for dynamical system analysis that does not require explicit model discovery. The method is rooted in well-established techniques for approximating the Koopman operator from data and is implemented as a semidefinite program that can be solved numerically. Furthermore, the method is agnostic of whether data are generated through a deterministic or stochastic process, so its implementation requires no prior adjustments by the user to accommodate these different scenarios. Rigorous convergence results justify the applicability of the method, while also extending and uniting similar results from across the literature. Examples on discovering Lyapunov functions, performing ergodic optimization, and bounding extrema over attractors for both deterministic and stochastic dynamics exemplify these convergence results and demonstrate the performance of the method.",{"EN":1962},"Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization",{"VOID":1964},"Abraham, I., Murphey, T.D.: Active learning of dynamics for data-driven control using Koopman operators. IEEE Trans. Robot. 35(5), 1071–1083 (2019). https:\u002F\u002Fdoi.org\u002F10.1109\u002FTRO.2019.2923880\nAhmadi, A.A., El Khadir, B.: Learning dynamical systems with side information. SIAM Rev. 65(1), 183–223 (2023). https:\u002F\u002Fdoi.org\u002F10.1137\u002F20M1388644\nBramburger, J.J., Goluskin, D.: Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization. Proc. R. Soc. A. 476(2241), 20200450–21 (2020). https:\u002F\u002Fdoi.org\u002F10.1098\u002Frspa.2020.0450\nBramburger, J.J., Kutz, J.N.: Poincaré maps for multiscale physics discovery and nonlinear Floquet theory. Phys. D 408, 132479–12 (2020). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.physd.2020.132479\nBrunton, S.L., Brunton, B.W., Proctor, J.L., Kutz, J.N.: Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control. PLoS ONE 11(2), 0150171 (2016a). https:\u002F\u002Fdoi.org\u002F10.1371\u002Fjournal.pone.0150171\nBrunton, S.L., Proctor, J.L., Kutz, J.N.: Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Proc. Natl. Acad. Sci. USA 113(15), 3932–3937 (2016b). https:\u002F\u002Fdoi.org\u002F10.1073\u002Fpnas.1517384113\nBrunton, S.L., Budišić, M., Kaiser, E., Kutz, J.N.: Modern Koopman theory for dynamical systems. 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Syst. 15(4), 1962–1988 (2016). https:\u002F\u002Fdoi.org\u002F10.1137\u002F15M1053347\nGoluskin, D.: Bounding averages rigorously using semidefinite programming: mean moments of the Lorenz system. J. Nonlinear Sci. 28(2), 621–651 (2018). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs00332-017-9421-2\nGoluskin, D.: Bounding extrema over global attractors using polynomial optimisation. Nonlinearity 33(9), 4878–4899 (2020). https:\u002F\u002Fdoi.org\u002F10.1088\u002F1361-6544\u002Fab8f7b\nHenrion, D., Korda, M.: Convex computation of the region of attraction of polynomial control systems. IEEE Trans. Autom. Control 59(2), 297–312 (2014). https:\u002F\u002Fdoi.org\u002F10.1109\u002FTAC.2013.2283095\nHenrion, D., Lasserre, J.B., Savorgnan, C.: Nonlinear optimal control synthesis via occupation measures. In: Proceedings of the IEEE Conference on Decision and Control, pp. 4749–4754. IEEE, Cancun, Mexico (2008). https:\u002F\u002Fdoi.org\u002F10.1109\u002FCDC.2008.4739136\nHernández-Hernández, D., Hernández-Lerma, O., Taksar, M.: The linear programming approach to deterministic optimal control problems. Appl. Math. (Warsaw) 24(1), 17–33 (1996). https:\u002F\u002Fdoi.org\u002F10.4064\u002Fam-24-1-17-33\nHilbert, D.: Über die Darstellung definiter Formen als Summe von Formenquadraten. Math. Ann. 32(3), 342–350 (1888). https:\u002F\u002Fdoi.org\u002F10.1007\u002FBF01443605\nJones, M., Peet, M.M.: Using SOS and sublevel set volume minimization for estimation of forward reachable sets. IFAC-PapersOnLine 52(16), 484–489 (2019). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.ifacol.2019.12.008\nKaheman, K., Kutz, J.N., Brunton, S.L.: SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. R. Soc. Proc. A. 476(2242), 20200279–25 (2020). https:\u002F\u002Fdoi.org\u002F10.1098\u002Frspa.2020.0279\nKaiser, E., Kutz, J.N., Brunton, S.L.: Data-driven discovery of Koopman eigenfunctions for control. Mach. Learn. Sci. Technol. 2(3), 035023 (2021). https:\u002F\u002Fdoi.org\u002F10.1088\u002F2632-2153\u002Fabf0f5\nKaptanoglu, A.A., Callaham, J.L., Aravkin, A., Hansen, C.J., Brunton, S.L.: Promoting global stability in data-driven models of quadratic nonlinear dynamics. Phys. Rev. Fluids 6(9), 094401 (2021). https:\u002F\u002Fdoi.org\u002F10.1103\u002FPhysRevFluids.6.094401\nKhalil, H.K.: Nonlinear Systems, 3rd edn. Prentice Hall, Hoboken (2002)\nKlus, S., Koltai, P., Schütte, C.: On the numerical approximation of the Perron–Frobenius and Koopman operator. J. Comput. Dyn. 3(1), 51–79 (2016). https:\u002F\u002Fdoi.org\u002F10.3934\u002Fjcd.2016003\nKlus, S., Nüske, F., Peitz, S., Niemann, J.-H., Clementi, C., Schütte, C.: Data-driven approximation of the Koopman generator: model reduction, system identification, and control. Phys. D 406, 132416 (2020). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.physd.2020.132416\nKoopman, B.O.: Hamiltonian systems and transformation in Hilbert space. Proc. Natl. Acad. Sci. 17(5), 315–318 (1931). https:\u002F\u002Fdoi.org\u002F10.1073\u002Fpnas.17.5.315\nKorda, M.: Computing controlled invariant sets from data using convex optimization. SIAM J. Control Optim. 58(5), 2871–2899 (2020). https:\u002F\u002Fdoi.org\u002F10.1137\u002F19M1305835\nKorda, M., Henrion, D., Jones, C.N.: Inner approximations of the region of attraction for polynomial dynamical systems. IFAC Proc. Vol. 43(23), 534–539 (2013). https:\u002F\u002Fdoi.org\u002F10.3182\u002F20130904-3-FR-2041.00002\nKorda, M., Henrion, D., Jones, C.N.: Convex computation of the maximum controlled invariant set for polynomial control systems. SIAM J. Control. Optim. 52(5), 2944–2969 (2014). https:\u002F\u002Fdoi.org\u002F10.1137\u002F130914565\nKorda, M., Mezić, I.: On convergence of extended dynamic mode decomposition to the Koopman operator. J. Nonlinear Sci. 28(2), 687–710 (2018a). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs00332-017-9423-0\nKorda, M., Mezić, I.: Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control. Automatica 93, 149–160 (2018b). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.automatica.2018.03.046\nKrengel, U.: On the speed of convergence in the ergodic theorem. Monatsh. 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