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Four-cluster chimera state in non-locally coupled phase oscillator systems with an external potential |
| Zhu Yun (朱云)a b, Zheng Zhi-Gang (郑志刚)a, Yang Jun-Zhong (杨俊忠)c |
a Department of Physics, Beijing Normal University, Beijing 100875, China;
b School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
c School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract Dynamics of a one-dimensional array of non-locally coupled Kuramoto phase oscillators with an external potential is studied. A four-cluster chimera state is observed for the moderate strength of the external potential. Different from the clustered chimera states studied before, the instantaneous frequencies of the oscillators in a synchronized cluster are different in the presence of the external potential. As the strength of the external potential increases, a bifurcation from the two-cluster chimera state to the four-cluster chimera states can be found. These phenomena are well predicted analytically with the help of the Ott–Antonsen ansatz.
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Received: 25 February 2013
Revised: 29 March 2013
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875011 and 11075016), the 973 Project (Grant No. 2007CB814805), the Fundamental Research Funds for the Central Universities, the Foundation for Doctoral Training from the Ministry of Education of China. |
Corresponding Authors:
Zheng Zhi-Gang
E-mail: zgzheng@bnu.edu.cn
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Cite this article:
Zhu Yun (朱云), Zheng Zhi-Gang (郑志刚), Yang Jun-Zhong (杨俊忠) Four-cluster chimera state in non-locally coupled phase oscillator systems with an external potential 2013 Chin. Phys. B 22 100505
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