PMID: 15244711Jul 13, 2004Paper

Onset of synchronization in systems of globally coupled chaotic maps

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Seung-Jong Baek, Edward Ott

Abstract

We study the transition to coherence of an ensemble of globally coupled chaotic maps allowing for ensembles of nonidentical maps and for noise. The transition coupling strength is determined from a kind of transfer function of the perturbation evolution. We present analytical results, and we test these results using numerical experiments for several large systems consisting of ensembles of many coupled maps. The later includes ensembles of identical noiseless maps, identical maps subject to noise, and ensembles of nonidentical maps. One of our examples suggests that the validity of the perturbation theory approach can be problematic for an ensemble of noiseless identical maps if the maps are nonhyperbolic. However, for such a case, noise and/or parameter spread seems to have a regularizing effect restoring the validity of perturbation theory.

References

Sep 1, 1988·The Quarterly Review of Biology·J Buck
Nov 1, 1987·Circulation Research·D C MichaelsJ Jalife
Jun 1, 1994·Journal of Computational Neuroscience·C M Gray
Aug 29, 1998·Neuroscience·M I Rabinovich, H D Abarbanel
Dec 15, 1992·Physical Review. a·G Perez, H A Cerdeira
Mar 14, 1994·Physical Review Letters·A S Pikovsky, J Kurths
Jan 15, 1996·Physical Review Letters·K WiesenfeldS H Strogatz
Dec 2, 1999·Nature·S DanøF Hynne
Oct 21, 2000·Physical Review Letters·G KozyreffP Mandel
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H Sakaguchi
Jan 3, 2001·Physical Review Letters·N F Rulkov
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S SeshadriS Lakshmibala
Jun 1, 2002·Science·Istvan Z KissJohn L Hudson
Dec 21, 2002·Science·Arthur T Winfree
Feb 21, 2003·Nature·Steve Nadis
Nov 25, 2003·Science·Shun YamaguchiHitoshi Okamura
Oct 8, 1971·Science·F E HansonJ Buck

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Citations

Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jack Waddell, Michal Zochowski
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chunyan WangHongli Wang
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A EnglertI Kanter
Jan 7, 2021·Proceedings. Mathematical, Physical, and Engineering Sciences·Valerio LucariniNiccolò Zagli
Aug 16, 2006·Physical Review Letters·Juan G RestrepoBrian R Hunt

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