0
2013
Impact Factor

Andrei Bukh

Publications:

Bukh A. V., Slepnev A. V., Anishchenko V. S., Vadivasova T. E.
Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps
2018, vol. 23, no. 3, pp.  325-338
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
Citation: Bukh A. V., Slepnev A. V., Anishchenko V. S., Vadivasova T. E.,  Stability and Noise-induced Transitions in an Ensemble of Nonlocally Coupled Chaotic Maps, Regular and Chaotic Dynamics, 2018, vol. 23, no. 3, pp. 325-338
DOI:10.1134/S1560354718030073

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