中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100505-100505.doi: 10.1088/1674-1056/22/10/100505
朱云a b, 郑志刚a, 杨俊忠c
Zhu Yun (朱云)a b, Zheng Zhi-Gang (郑志刚)a, Yang Jun-Zhong (杨俊忠)c
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.
中图分类号: (Synchronization; coupled oscillators)