Chaos
SCIE-ISI SCOPUS (1991-2023)
1054-1500
1089-7682
Mỹ
Cơ quản chủ quản: American Institute of Physics , AIP PUBLISHING
Lĩnh vực:
Medicine (miscellaneous)Applied MathematicsStatistical and Nonlinear PhysicsPhysics and Astronomy (miscellaneous)Mathematical Physics
Các bài báo tiêu biểu
Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time seriesThe healthy heartbeat is traditionally thought to be regulated according to the classical principle of homeostasis whereby physiologic systems operate to reduce variability and achieve an equilibrium-like state [Physiol. Rev. 9, 399–431 (1929)]. However, recent studies [Phys. Rev. Lett. 70, 1343–1346 (1993); Fractals in Biology and Medicine (Birkhauser-Verlag, Basel, 1994), pp. 55–65] reve... ...
Tập 5 Số 1 - Trang 82-87 - 1995
Fundamentals of synchronization in chaotic systems, concepts, and applicationsThe field of chaotic synchronization has grown considerably since its advent in 1990. Several subdisciplines and “cottage industries” have emerged that have taken on bona fide lives of their own. Our purpose in this paper is to collect results from these various areas in a review article format with a tutorial emphasis. Fundamentals of chaotic synchronization are reviewed first with emphas... ...
Tập 7 Số 4 - Trang 520-543 - 1997
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operatorIn this paper, we present a new fractional-order mathematical model for a tumor-immune surveillance mechanism. We analyze the interactions between various tumor cell populations and immune system via a system of fractional differential equations (FDEs). An efficient numerical procedure is suggested to solve these FDEs by considering singular and nonsingular derivative operators. An optimal... ...
Tập 29 Số 8 - 2019
Metastable chimera states in community-structured oscillator networksA system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) “chimera” states in which synchronization and desynchronization coexist. The oscillators are organized into communities, such that each oscillator is connected to all its peers in the same community and to a subset of the oscillato... ...
Tập 20 Số 1 - 2010
New variable-order fractional chaotic systems for fast image encryptionNew variable-order fractional chaotic systems are proposed in this paper. A concept of short memory is introduced where the initial point in the Caputo derivative is varied. The fractional order is defined by the use of a piecewise constant function which leads to rich chaotic dynamics. The predictor–corrector method is adopted, and numerical solutions of fractional delay equations are obt... ...
Tập 29 Số 8 - 2019
A unifying definition of synchronization for dynamical systemsWe propose a unifying definition for synchronization between stationary finite dimensional deterministic dynamical systems. By example, we show that the synchronization phenomena discussed in the dynamical systems literature fits within the framework of this definition, and discuss problems with previous definitions of synchronization. We conclude with a discussion of possible extensions o... ...
Tập 10 Số 2 - Trang 344-349 - 2000
Dynamic analysis of the fractional-order Liu system and its synchronizationBased on the stability theory of fractional-order systems, the dynamic behaviors of fractional-order Liu system are studied theoretically. Coupling synchronization of two identical fractional-order chaotic systems is also studied and a simple criterion is presented. Numerical simulations show the effectiveness of our methods.
Tập 17 Số 3 - 2007
A critical comparison of Lagrangian methods for coherent structure detectionWe review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathematical methods and diagnostic scalar fields, comparing their performance on three benchmark examples: the quasiperiodically forced Bickley jet, a two-dimensional turbulence simulation, and an observational wind ve... ...
Tập 27 Số 5 - 2017
Computing Lagrangian coherent structures from their variational theory
Tập 22 Số 1 - Trang 013128 - 2012