Động lực học Hamilton bị nhiễu từ sự biến dạng của các dấu ngoặc Poisson

Russian Journal of Mathematical Physics - Tập 26 - Trang 277-285 - 2019
M. Avendaño-Camacho1, R. Flores-Espinoza1, Yu. Vorobiev1
1Department of Mathematics, University of Sonora, Hermosillo, México

Tóm tắt

Trong bối cảnh các dạng chuẩn, chúng tôi nghiên cứu một lớp hệ thống Hamilton bị nhiễu trên không gian pha có tính đối xứng, phát sinh từ sự biến dạng của các dấu ngoặc Poisson. Bằng cách kết hợp phương pháp trung bình với một số thực tế về đồng sinh học Poisson invariant, chúng tôi rút ra các tiêu chí chuẩn hóa khác nhau. Đặc biệt, chúng tôi tính toán các dạng chuẩn bất biến bậc nhất cho các hệ thống kiểu adiabatic trên các fibration Poisson bằng cách sử dụng kỹ thuật kết nối Hannay-Berry.

Từ khóa

#động lực học Hamilton #hệ thống bị nhiễu #biến dạng #dấu ngoặc Poisson #các dạng chuẩn bất biến

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