Numerical analysis of the chimera states in the multilayered network model

Mikhail V. Goremyko; Vladimir A. Maksimenko; Vladimir V. Makarov; Dibakar Ghosh; Bidesh K. Bera; Syamal K. Dana; Alexander E. Hramov

doi:10.1117/12.2251872

3 March 2017 Numerical analysis of the chimera states in the multilayered network model

Mikhail V. Goremyko, Vladimir A. Maksimenko, Vladimir V. Makarov, Dibakar Ghosh, Bidesh K. Bera, Syamal K. Dana, Alexander E. Hramov

Author Affiliations +

Proceedings Volume 10063, Dynamics and Fluctuations in Biomedical Photonics XIV; 100631J (2017) https://doi.org/10.1117/12.2251872
Event: SPIE BiOS, 2017, San Francisco, California, United States

Abstract

We numerically study the interaction between the ensembles of the Hindmarsh-Rose (HR) neuron systems, arranged in the multilayer network model. We have shown that the fully identical layers, demonstrated individually different chimera due to the initial mismatch, come to the identical chimera state with the increase of inter-layer coupling. Within the multilayer model we also consider the case, when the one layer demonstrates chimera state, while another layer exhibits coherent or incoherent dynamics. It has been shown that the interactions chimera-coherent state and chimera-incoherent state leads to the both excitation of chimera as from the ensemble of fully coherent or incoherent oscillators, and suppression of initially stable chimera state

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Mikhail V. Goremyko, Vladimir A. Maksimenko, Vladimir V. Makarov, Dibakar Ghosh, Bidesh K. Bera, Syamal K. Dana, and Alexander E. Hramov "Numerical analysis of the chimera states in the multilayered network model", Proc. SPIE 10063, Dynamics and Fluctuations in Biomedical Photonics XIV, 100631J (3 March 2017); https://doi.org/10.1117/12.2251872

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