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

Olesia Dogonasheva, Dmitry Kasatkin, Boris Gutkin and Denis Zakharov

Chaos, Solitons & Fractals, 2021, vol. 153, issue P1

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.

Keywords: Spiking neuronal networks; Synchronization; Order parameter; Cluster synchronization; Chimera state; Travelling chimera state; Travelling wave (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p1:s096007792100895x

DOI: 10.1016/j.chaos.2021.111541

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