Mathematical Framework for Breathing Chimera States

  title={Mathematical Framework for Breathing Chimera States},
  author={Oleh E. Omel'chenko},
  journal={Journal of Nonlinear Science},
  • O. Omel'chenko
  • Published 29 November 2021
  • Physics
  • Journal of Nonlinear Science
About two decades ago it was discovered that systems of nonlocally coupled oscillators can exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions. Since then such patterns, called chimera states, have been the subject of intensive study but mostly in the stationary case when the coarse-grained system dynamics remains unchanged over time. Nonstationary coherence–incoherence patterns, in particular periodically breathing chimera states, were also reported, however… 
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