Numerical and analytical investigation of the chimera state excitation conditions in the Kuramoto-Sakaguchi oscillator network

Nikita S. Frolov; Mikhail V. Goremyko; Vladimir V. Makarov; Vladimir A. Maksimenko; Alexander E. Hramov

doi:10.1117/12.2251702

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3 March 2017 Numerical and analytical investigation of the chimera state excitation conditions in the Kuramoto-Sakaguchi oscillator network

Nikita S. Frolov; Mikhail V. Goremyko; Vladimir V. Makarov; Vladimir A. Maksimenko; Alexander E. Hramov

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Proceedings Volume 10063, Dynamics and Fluctuations in Biomedical Photonics XIV; 100631H (2017) https://doi.org/10.1117/12.2251702
Event: SPIE BiOS, 2017, San Francisco, California, United States

Abstract

In this paper we study the conditions of chimera states excitation in ensemble of non-locally coupled Kuramoto-Sakaguchi (KS) oscillators. In the framework of current research we analyze the dynamics of the homogeneous network containing identical oscillators. We show the chimera state formation process is sensitive to the parameters of coupling kernel and to the KS network initial state. To perform the analysis we have used the Ott-Antonsen (OA) ansatz to consider the behavior of infinitely large KS network.

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Nikita S. Frolov, Mikhail V. Goremyko, Vladimir V. Makarov, Vladimir A. Maksimenko, and Alexander E. Hramov "Numerical and analytical investigation of the chimera state excitation conditions in the Kuramoto-Sakaguchi oscillator network", Proc. SPIE 10063, Dynamics and Fluctuations in Biomedical Photonics XIV, 100631H (3 March 2017); https://doi.org/10.1117/12.2251702