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

Chaos, Solitons and Fractals. 2021. Vol. 153. Article 111541.

Dogonasheva O., Касаткин Д. В., Гуткин Б. С., Zakharov D.

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: бегущая волна, синхронизация, travelling wave, synchronization, кластерная синхронизация, cluster synchronization, spiking neuronal networks, order parameter, chimera state, travelling chimera state, спайковая нейронная сеть, параметр порядка, химерное состояние, бегущее химерное состояние

Publication based on the results of: Fundamental study of the mechanisms of brain activity in the performance of cognitive and neuroeconomic tasks in health and disease using psychophysiological, neuroanatomical, neurocomputational and behavioral approaches (2021)