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Regul. Chaotic Dyn., 2018, Volume 23, Issue 3, Pages 325–338 (Mi rcd326)  

Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps

Andrei V. Bukh, Andrei V. Slepnev, Vadim S. Anishchenko, Tatiana E. Vadivasova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia

Abstract: The influence of noise on chimera states arising in ensembles of nonlocally coupled chaotic maps is studied. There are two types of chimera structures that can be obtained in such ensembles: phase and amplitude chimera states. In this work, a series of numerical experiments is carried out to uncover the impact of noise on both types of chimeras. The noise influence on a chimera state in the regime of periodic dynamics results in the transition to chaotic dynamics. At the same time, the transformation of incoherence clusters of the phase chimera to incoherence clusters of the amplitude chimera occurs. Moreover, it is established that the noise impact may result in the appearance of a cluster with incoherent behavior in the middle of a coherence cluster.

Keywords: chimera states, noise influence, ensembles of coupled maps, logistic map, Rickerís map

Funding Agency Grant Number
Deutsche Forschungsgemeinschaft SFB 910
Russian Science Foundation 16-12-10175
Ministry of Education and Science of the Russian Federation 3.8616.2017/BC
This work was partially supported by DFG in the framework of SFB 910. A.V.S. and V.S.A. acknowledge support of the Russian Science Foundation (project No. 16-12-10175). T.E.V. acknowledges support of the Ministry of Education and Science of the Russian Federation (project code 3.8616.2017/BC).


DOI: https://doi.org/10.1134/S1560354718030073

References: PDF file   HTML file

Bibliographic databases:

Document Type: Article
MSC: 65L99, 65Z05, 37B25, 37M05, 37N30
Received: 13.04.2018
Language: English

Citation: Andrei V. Bukh, Andrei V. Slepnev, Vadim S. Anishchenko, Tatiana E. Vadivasova, “Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps”, Regul. Chaotic Dyn., 23:3 (2018), 325–338

Citation in format AMSBIB
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\by Andrei V. Bukh, Andrei V. Slepnev, Vadim S. Anishchenko, Tatiana E. Vadivasova
\paper Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 3
\pages 325--338
\mathnet{http://mi.mathnet.ru/rcd326}
\crossref{https://doi.org/10.1134/S1560354718030073}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3811822}
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