Chimera states on complex networks

Yun Zhu, Zhigang Zheng, and Junzhong Yang

Phys. Rev. E 89, 022914 – Published 14 February 2014

Abstract

The model of nonlocally coupled identical phase oscillators on complex networks is investigated. We find the existence of chimera states in which identical oscillators evolve into distinct coherent and incoherent groups. We find that the coherent group of chimera states always contains the same oscillators no matter what the initial conditions are. The properties of chimera states and their dependence on parameters are investigated on both scale-free networks and Erdös-Rényi networks.

Received 25 November 2013

DOI:https://doi.org/10.1103/PhysRevE.89.022914

Authors & Affiliations

Yun Zhu¹, Zhigang Zheng², and Junzhong Yang^3,*

¹School of Science, Jiangxi University of Science and Technology, Ganzhou, 341000, People's Republic of China
²Department of Physics and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing, 100875, China
³School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

^*jzyang@bupt.edu.cn

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Vol. 89, Iss. 2 — February 2014

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics