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Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks

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  • Dogonasheva, Olesia
  • Kasatkin, Dmitry
  • Gutkin, Boris
  • Zakharov, Denis

Abstract

We propose a robust universal approach to identify multiple network dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters, travelling waves, chimera states, and asynchronous regimes. In addition, our method can determine the number of clusters in the case of cluster synchronization. We further couple our approach with a new speed calculation method for travelling chimeras. We validate our approach by an example of a ring network of type II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connections where we identify a rich repertoire of coherent and wave states. We propose that the method is robust for the networks of phase oscillators and extends to a general class of relaxation oscillator networks.

Suggested Citation

  • Dogonasheva, Olesia & Kasatkin, Dmitry & Gutkin, Boris & Zakharov, Denis, 2021. "Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s096007792100895x
    DOI: 10.1016/j.chaos.2021.111541
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    References listed on IDEAS

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    1. Laurent Larger & Bogdan Penkovsky & Yuri Maistrenko, 2015. "Laser chimeras as a paradigm for multistable patterns in complex systems," Nature Communications, Nature, vol. 6(1), pages 1-7, November.
    2. Alexander zur Bonsen & Iryna Omelchenko & Anna Zakharova & Eckehard Schöll, 2018. "Chimera states in networks of logistic maps with hierarchical connectivities," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(4), pages 1-12, April.
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