The European Physical Journal Special Topics

, Volume 226, Issue 9, pp 1857–1866 | Cite as

Transition from complete synchronization to spatio-temporal chaos in coupled chaotic systems with nonhyperbolic and hyperbolic attractors

  • Elena Rybalova
  • Nadezhda Semenova
  • Galina Strelkova
  • Vadim Anishchenko
Regular Article
Part of the following topical collections:
  1. Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications

Abstract

We study the transition from coherence (complete synchronization) to incoherence (spatio-temporal chaos) in ensembles of nonlocally coupled chaotic maps with nonhyperbolic and hyperbolic attractors. As basic models of a partial element we use the Henon map and the Lozi map. We show that the transition to incoherence in a ring of coupled Henon maps occurs through the appearance of phase and amplitude chimera states. An ensemble of coupled Lozi maps demonstrates the coherence-incoherence transition via solitary states and no chimera states are observed in this case.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Elena Rybalova
    • 1
  • Nadezhda Semenova
    • 1
  • Galina Strelkova
    • 1
  • Vadim Anishchenko
    • 1
  1. 1.Saratov State UniversitySaratovRussia

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