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arXiv · 2106.10930

Unbalanced clustering and solitary states in coupled excitable systems

Igor Franović·Sebastian Eydam·Nadezhda Semenova·Anna Zakharova
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Abstract

We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with prevalent repulsive interactions. Solitary states in non-locally coupled arrays inherit their dynamical features from unbalanced cluster states in globally coupled networks. Apart from self-organization based on phase-locked synchrony, interplay of excitability and local multiscale dynamics also gives rise to leap-frog states involving alternating order of spiking. Noise suppresses multistability of cluster states and induces pattern homogenization, transforming solitary states into patterns of patched

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Igor Franović, Sebastian Eydam, Nadezhda Semenova, Anna Zakharova. 2021-06-21. Unbalanced clustering and solitary states in coupled excitable systems. https://doi.org/10.1063/5.0077022

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