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The European Physical Journal Special Topics

, Volume 227, Issue 10–11, pp 1173–1183 | Cite as

Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps

  • Nadezhda SemenovaEmail author
  • Tatyana Vadivasova
  • Vadim Anishchenko
Regular Article
Part of the following topical collections:
  1. Advances in Nonlinear Dynamics of Complex Networks: Adaptivity, Stochasticity, Delays

Abstract

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that the nonlocal coupling and features of the partial elements lead to the emergence of multistability in the system. The existence of solitary state is caused by the formation of two attracting sets with different basins of attraction. Their evolution is analyzed depending on the coupling parameters.

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Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Nadezhda Semenova
    • 1
    Email author
  • Tatyana Vadivasova
    • 1
  • Vadim Anishchenko
    • 1
  1. 1.Saratov State UniversitySaratovRussia

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