Chaos
SCIE-ISI SCOPUS (1991-2025)
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
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
Tập 5 Số 1 - Trang 82-87 - 1995
The 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]
reveal that ...
Fundamentals of synchronization in chaotic systems, concepts, and applications
Tập 7 Số 4 - Trang 520-543 - 1997
The 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
emphases on th...
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
Tập 29 Số 8 - 2019
In 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
control...
Metastable chimera states in community-structured oscillator networks
Tập 20 Số 1 - 2010
A 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 oscillators in ot...
New variable-order fractional chaotic systems for fast image encryption
Tập 29 Số 8 - 2019
New 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
obtained. T...
A unifying definition of synchronization for dynamical systems
Tập 10 Số 2 - Trang 344-349 - 2000
We 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 of the de...
Dynamic analysis of the fractional-order Liu system and its synchronization
Tập 17 Số 3 - 2007
Based 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.
A critical comparison of Lagrangian methods for coherent structure detection
Tập 27 Số 5 - 2017
We 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 velocity
f...
Computing Lagrangian coherent structures from their variational theory
Tập 22 Số 1 - Trang 013128 - 2012