THE BREAKDOWN OF SYNCHRONIZATION IN SYSTEMS OF NONIDENTICAL CHAOTIC OSCILLATORS: THEORY AND EXPERIMENT-Reference-Cited by-同舟云学术

THE BREAKDOWN OF SYNCHRONIZATION IN SYSTEMS OF NONIDENTICAL CHAOTIC OSCILLATORS: THEORY AND EXPERIMENT

Published:2001-10 Issue:10 Volume:11 Page:2705-2713
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CHUBB JENNIFER¹,BARRETO ERNEST¹,SO PAUL¹,GLUCKMAN BRUCE J.¹

Affiliation:

1. Departments of Mathematics, Physics & Astronomy, and The Krasnow Institute for Advanced Study, Mail Stop 2A1, George Mason University, Fairfax, VA 22030, USA

Abstract

The synchronization of chaotic systems has received a great deal of attention. However, most of the literature has focused on systems that possess invariant manifolds that persist as the coupling is varied. In this paper, we describe the process whereby synchronization is lost in systems of nonidentical coupled chaotic oscillators without special symmetries. We qualitatively and quantitatively analyze such systems in terms of the evolution of the unstable periodic orbit structure. Our results are illustrated with data from physical experiments.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127401003760

Reference21 articles.

1. Bubbling of attractors and synchronisation of chaotic oscillators

2. From attractor to chaotic saddle: a tale of transverse instability

3. Loss of Chaos Synchronization through the Sequence of Bifurcations of Saddle Periodic Orbits

4. Non-bifurcational mechanism of loss of chaos synchronization in coupled non-identical systems

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. COMPLEX BEHAVIOR IN COUPLED CHAOTIC CIRCUITS RELATED BY INTERMITTENCY AND ITS MODELING METHODS;International Journal of Bifurcation and Chaos;2012-11

2. Constructing Generalized Synchronization Manifolds by Manifold Equation;SIAM Journal on Applied Dynamical Systems;2009-01

3. Towards generalized synchronization of strictly different chaotic systems;Physics Letters A;2005-07

4. The structure of synchronization sets for noninvertible systems;Chaos: An Interdisciplinary Journal of Nonlinear Science;2004-06

5. Experimental observation on the effect of coupling on different synchronization phenomena in coupled nonidentical Chua’s oscillators;Chaos: An Interdisciplinary Journal of Nonlinear Science;2003-03