Volume 125, Number 5, March 2019
|Number of page(s)||6|
|Published online||17 April 2019|
The drift of chimera states in a ring of nonlocally coupled bicomponent phase oscillators
School of Science, Beijing University of Posts and Telecommunications - Beijing 100876, PRC
Received: 12 December 2018
Accepted: 7 March 2019
The chimera state is a fascinating symmetry-breaking dynamical state in a network of coupled oscillators. In this paper, we study a ring of nonlocally coupled bicomponent phase oscillators in which oscillators with natural frequency ω0 are motionless and oscillators with natural frequency −ω0 are moving at the velocity v along the ring. In response to the movement of oscillators, chimera states in the two subpopulations drift along the ring. For small ω0, the two chimera states are synchronized with their coherent oscillators oscillate at the same frequency and drifting at the same velocity proportional to v. For large ω0, there exist several dynamical regimes depending on v. At sufficiently low v, the coherent oscillators in the two subpopulations move at the same velocity much higher than v. In contrast, at high v, the chimera state in the moving oscillators drifts at v while that in the motionless oscillators it stays roughly stationary. In between, the drifting velocities in the moving and the motionless oscillators get separated from each other.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.-k – Complex systems
© EPLA, 2019
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