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arXiv · 1808.03220

Chimera states in nonlocally coupled bicomponent phase oscillators: From synchronous to asynchronous chimeras

Qionglin Dai·Kai Yang·Hongyan Cheng·Haihong Li·Fagen Xie·Junzhong Yang
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Abstract

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which oscillators with natural frequency $\omega_0$ (positive oscillators) and $-\omega_0$ (negative oscillators) are randomly distributed along a ring. We show the existence of chimera states no matter how large $\omega_0$ is and the states manifest themselves in the form that oscillators with positive/negative frequency support their own chimera states. There are two types of chimera states, synchronous chimera states at small $\omega_0$ in which coherent positive and negative oscillators share a same mean phase velocity and asynchronous chimera states at large $\omega_0$ in which coherent positive and negative oscillators have different mean phase velocities. Increasing $\omega_0$ induces a desynchronization transition between synchronous chimera states and asynchronous chimera states.

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Qionglin Dai, Kai Yang, Hongyan Cheng, Haihong Li, Fagen Xie, Junzhong Yang. 2018-07-13. Chimera states in nonlocally coupled bicomponent phase oscillators: From synchronous to asynchronous chimeras. https://arxiv.org/abs/1808.03220

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