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Regular and Chaotic Dynamics

, Volume 23, Issue 3, pp 325–338 | Cite as

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

  • Andrei V. BukhEmail author
  • Andrei V. Slepnev
  • Vadim S. Anishchenko
  • Tatiana E. Vadivasova
Article
  • 33 Downloads

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 

MSC2010 numbers

65L99 65Z05 37B25 37M05 37N30 

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Notes

Acknowledgments

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).

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • Andrei V. Bukh
    • 1
    Email author
  • Andrei V. Slepnev
    • 1
  • Vadim S. Anishchenko
    • 1
  • Tatiana E. Vadivasova
    • 1
  1. 1.Saratov State UniversitySaratovRussia

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