中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100505-100505.doi: 10.1088/1674-1056/22/10/100505

• GENERAL • 上一篇    下一篇

Four-cluster chimera state in non-locally coupled phase oscillator systems with an external potential

朱云a b, 郑志刚a, 杨俊忠c   

  1. 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
  • 收稿日期:2013-02-25 修回日期:2013-03-29 出版日期:2013-08-30 发布日期:2013-08-30
  • 基金资助:
    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.

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   

  1. 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
  • Received:2013-02-25 Revised:2013-03-29 Online:2013-08-30 Published:2013-08-30
  • Contact: Zheng Zhi-Gang E-mail:zgzheng@bnu.edu.cn
  • Supported by:
    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.

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摘要： 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.

关键词: chimera state, non-local coupling, Kuramoto oscillators and Ott-Antonsen ansatz

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.

Key words: chimera state, non-local coupling, Kuramoto oscillators and Ott–Antonsen ansatz

中图分类号:  (Synchronization; coupled oscillators)

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