English

Genesis of chimera patterns through self-induced stochastic resonance

Adaptation and Self-Organizing Systems 2023-08-09 v1 Disordered Systems and Neural Networks Chaotic Dynamics Pattern Formation and Solitons Computational Physics

Abstract

Noise induced order in excitable systems has diverse manifestations, such as coherence resonance (CR) and stochastic resonance. In this context a less explored phenomenon is self-induced stochastic resonance (SISR). Unlike CR, SISR may arise away from the bifurcation threshold and the properties of the induced oscillations depend upon both the noise intensity and the time-scale separation factor. In this work, we report a new chimera pattern in a network of coupled excitable units, namely the self-induced stochastic resonance chimera or SISR-chimera that originates from the SISR phenomenon. We explore the detailed dynamics of the SISR-chimera in the parameter space using proper quantitative measures. We have found that unlike CR chimera, the SISR-chimera pattern strongly depends upon the ratio of time scale and noise intensity. Therefore, this type of chimera pattern can be induced even for a tiny noise intensity if the time scale separation of the activator and inhibitor is large enough.

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@article{arxiv.2305.06824,
  title  = {Genesis of chimera patterns through self-induced stochastic resonance},
  author = {Taniya Khatun and Tanmoy Banerjee},
  journal= {arXiv preprint arXiv:2305.06824},
  year   = {2023}
}

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