Technical Physics Letters

, Volume 42, Issue 7, pp 765–768 | Cite as

Amplitude and phase chimeras in an ensemble of chaotic oscillators

  • S. A. Bogomolov
  • G. I. Strelkova
  • E. Schöll
  • V. S. Anishchenko
Article

Abstract

The transition from coherence to incoherence in an ensemble of nonlocally coupled logistic maps is considered. Chimera states of two types (amplitude and phase) are found. The mechanism and conditions of their appearance are determined.

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References

  1. 1.
    Y. Kuramoto and D. Battogtokh, Nonlinear Phenom. Complex Syst. (Minsk, Belarus) 5 (4), 380 (2002).Google Scholar
  2. 2.
    M. J. Panaggio and D. M. Abrams, Nonlinearity 28, R67 (2015).ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    D. M. Abrams and S. H. Strogatz, Phys. Rev. Lett. 93 (17), 174102 (2004).ADSCrossRefGoogle Scholar
  4. 4.
    O. E. Omel’chenko, Y. Maistrenko, and P. A. Tass, Phys. Rev. Lett. 100 (4), 044105 (2008).ADSCrossRefGoogle Scholar
  5. 5.
    N. Semenova, A. Zakharova, E. Schöll, and V. S. Anishchenko, Europhys. Lett. 112, 40002 (2015).ADSCrossRefGoogle Scholar
  6. 6.
    I. Omelchenko, Y. Maistrenko, P. Hövel, and E. Schöll, Phys. Rev. Lett. 106 (23), 234102 (2011).ADSCrossRefGoogle Scholar
  7. 7.
    I. Omelchenko, B. Riemenschneider, P. Hövel, Y. Maistrenko, and E. Scholl, Phys. Rev. E 85 (2), 026212 (2012).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  • S. A. Bogomolov
    • 1
  • G. I. Strelkova
    • 1
  • E. Schöll
    • 2
  • V. S. Anishchenko
    • 1
  1. 1.Saratov State UniversitySaratovRussia
  2. 2.Institut für Theoretische PhysikTU BerlinBerlinGermany

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