Nonlinear dynamics of the complex multi-scale network

Vladimir V. Makarov; Daniil Kirsanov; Mikhail Goremyko; Andrey Andreev; Alexander E. Hramov

doi:10.1117/12.2315095

26 April 2018 Nonlinear dynamics of the complex multi-scale network

Vladimir V. Makarov, Daniil Kirsanov, Mikhail Goremyko, Andrey Andreev, Alexander E. Hramov

Proceedings Volume 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV; 1071729 (2018) https://doi.org/10.1117/12.2315095
Event: Saratov Fall Meeting 2017, 2017, Saratov, Russian Federation

Abstract

In this paper, we study the complex multi-scale network of nonlocally coupled oscillators for the appearance of chimera states. Chimera is a special state in which, in addition to the asynchronous cluster, there are also completely synchronous parts in the system. We show that the increase of nodes in subgroups leads to the destruction of the synchronous interaction within the common ring and to the narrowing of the chimera region.

Citation Download Citation

Vladimir V. Makarov, Daniil Kirsanov, Mikhail Goremyko, Andrey Andreev, and Alexander E. Hramov "Nonlinear dynamics of the complex multi-scale network", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 1071729 (26 April 2018); https://doi.org/10.1117/12.2315095

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