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Nelin. Dinam., 2016, Volume 12, Number 3, Pages 295–309 (Mi nd528)  

This article is cited in 2 scientific papers (total in 2 papers)

Original papers

Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble

N. I. Semenova, V. S. Anishchenko

National Research Saratov State University, Astrakhanskaya 83, Saratov, 410012, Russia

Abstract: We consider the dynamics of a ring of nonlocally coupled logistic maps when varying the coupling coefficient. We introduce the coupling function, which characterizes the impact of nonlocal neighbors and study its dynamics together with the dynamics of the whole ensemble. Conditions for the transition from complete chaotic synchronization to partial one are analyzed and the corresponding theoretical estimation of the bifurcation parameter $\sigma$ is given. Conditions for the appearance of phase and amplitude chimera states are also studied.

Keywords: chimera states, nonlocal coupling, chaotic synchronization, desynchronization, one-dimensional ensemble

Funding Agency Grant Number
Russian Science Foundation 16-12-10175
Russian Foundation for Basic Research 14-52-12002
Deutsche Forschungsgemeinschaft SFB 910


DOI: https://doi.org/10.20537/nd1603001

Full text: PDF file (3177 kB)
References: PDF file   HTML file

UDC: 530.182
MSC: 90B10, 34D06, 35B36
Received: 27.04.2016
Accepted:25.06.2016

Citation: N. I. Semenova, V. S. Anishchenko, “Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble”, Nelin. Dinam., 12:3 (2016), 295–309

Citation in format AMSBIB
\Bibitem{SemAni16}
\by N.~I.~Semenova, V.~S.~Anishchenko
\paper Coherence-incoherence transition with appearance of chimera states in a one-dimensional ensemble
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 3
\pages 295--309
\mathnet{http://mi.mathnet.ru/nd528}
\crossref{https://doi.org/10.20537/nd1603001}
\elib{http://elibrary.ru/item.asp?id=27328715}


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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. 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
    2. G. I. Strelkova, V. S. Anischenko, “Prostranstvenno-vremennye struktury v ansamblyakh svyazannykh khaoticheskikh sistem”, UFN, 190:2 (2020), 160–178  mathnet  crossref
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