4.2 Article

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

Journal

REGULAR & CHAOTIC DYNAMICS
Volume 23, Issue 3, Pages 325-338

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1560354718030073

Keywords

chimera states; noise influence; ensembles of coupled maps; logistic map; Ricker's map

Funding

  1. DFG [SFB 910]
  2. Russian Science Foundation [16-12-10175]
  3. Ministry of Education and Science of the Russian Federation [3.8616.2017/BC]
  4. Russian Science Foundation [16-12-10175] Funding Source: Russian Science Foundation

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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.

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