The breakdown of synchronization in systems of nonidentical chaotic oscillators: Theory and experiment

Jennifer Chubb; Ernest Barreto; So Paul; Bruce J. Gluckman

doi:10.1142/S0218127401003760

The breakdown of synchronization in systems of nonidentical chaotic oscillators: Theory and experiment

Jennifer Chubb, Ernest Barreto, So Paul, Bruce J. Gluckman

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2705-2713
Number of pages	9
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	11
Issue number	10
DOIs	https://doi.org/10.1142/S0218127401003760
State	Published - Oct 2001

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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title = "The breakdown of synchronization in systems of nonidentical chaotic oscillators: Theory and experiment",

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.",

author = "Jennifer Chubb and Ernest Barreto and So Paul and Gluckman, {Bruce J.}",

note = "Funding Information: This work was supported by the National Science Foundation (IBN 9727739) and the National Institutes of Health (2R01MH50006 and 1K25MH01963).",

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AU - Chubb, Jennifer

AU - Barreto, Ernest

AU - Paul, So

AU - Gluckman, Bruce J.

N1 - Funding Information: This work was supported by the National Science Foundation (IBN 9727739) and the National Institutes of Health (2R01MH50006 and 1K25MH01963).

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N2 - 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.

AB - 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.

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