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JOURNALS // Regular and Chaotic Dynamics // Archive

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

This article is cited in 18 papers

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, Ricker’s map.

MSC: 65L99, 65Z05, 37B25, 37M05, 37N30

Received: 13.04.2018
Accepted: 07.05.2018

Language: English

DOI: 10.1134/S1560354718030073



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