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Regul. Chaotic Dyn., 2017, Volume 22, Issue 2, Pages 148–162 (Mi rcd248)  

This article is cited in 3 scientific papers (total in 3 papers)

“Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors

Nadezhda I. Semenova, Elena V. Rybalova, Galina I. Strelkova, Vadim S. Anishchenko

Department of Physics, Saratov National Research State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia

Abstract: We consider in detail similarities and differences of the “coherence–incoherence” transition in ensembles of nonlocally coupled chaotic discrete-time systems with nonhyperbolic and hyperbolic attractors. As basic models we employ the Hénon map and the Lozi map. We show that phase and amplitude chimera states appear in a ring of coupled Hénon maps, while no chimeras are observed in an ensemble of coupled Lozi maps. In the latter, the transition to spatio-temporal chaos occurs via solitary states. We present numerical results for the coupling function which describes the impact of neighboring oscillators on each partial element of an ensemble with nonlocal coupling. Varying the coupling strength we analyze the evolution of the coupling function and discuss in detail its role in the “coherence–incoherence” transition in the ensembles of Hénon and Lozi maps.

Keywords: ensemble of nonlocally coupled oscillators, chimera states, solitary states, hyperbolic and nonhyperbolic attractors, coupling function

Funding Agency Grant Number
Deutsche Forschungsgemeinschaft SFB 910
Russian Foundation for Basic Research 15-02-02288
This work was supported by DFG in the framework of SFB 910 and RFBR (grant No. 15-02-02288).


DOI: https://doi.org/10.1134/S1560354717020046

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Bibliographic databases:

Document Type: Article
MSC: 10.1134/S1560354717020046
Received: 14.02.2017
Accepted:03.03.2017
Language: English

Citation: Nadezhda I. Semenova, Elena V. Rybalova, Galina I. Strelkova, Vadim S. Anishchenko, ““Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors”, Regul. Chaotic Dyn., 22:2 (2017), 148–162

Citation in format AMSBIB
\Bibitem{SemRybStr17}
\by Nadezhda I. Semenova, Elena V. Rybalova, Galina I. Strelkova, Vadim S. Anishchenko
\paper “Coherence–incoherence” Transition in Ensembles of Nonlocally Coupled Chaotic Oscillators with Nonhyperbolic and Hyperbolic Attractors
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 2
\pages 148--162
\mathnet{http://mi.mathnet.ru/rcd248}
\crossref{https://doi.org/10.1134/S1560354717020046}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000398060800004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016985240}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Bukh A., Rybalova E., Semenova N., Strelkova G., Anishchenko V., “New Type of Chimera and Mutual Synchronization of Spatiotemporal Structures in Two Coupled Ensembles of Nonlocally Interacting Chaotic Maps”, Chaos, 27:11 (2017), 111102  crossref  mathscinet  zmath  isi  scopus
    2. Semenova N.I., Strelkova G.I., Anishchenko V.S., Zakharova A., “Temporal Intermittency and the Lifetime of Chimera States in Ensembles of Nonlocally Coupled Chaotic Oscillators”, Chaos, 27:6 (2017), 061102  crossref  mathscinet  zmath  isi  scopus
    3. M. P. Kulakov, E. Ya. Frisman, “Klasterizatsiya i khimery v modeli prostranstvenno-vremennoi dinamiki populyatsii s vozrastnoi strukturoi”, Nelineinaya dinam., 14:1 (2018), 13–31  mathnet  crossref  elib
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