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

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

Author Affiliations +

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available