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arXiv · 1109.4235

The oscillating two-cluster chimera state in non-locally coupled phase oscillators

Yun Zhu·Yuting Li·Mei Zhang·Junzhong Yang
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Abstract

We investigate an array of identical phase oscillators non-locally coupled without time delay, and find that chimera state with two coherent clusters exists which is only reported in delay-coupled systems previously. Moreover, we find that the chimera state is not stationary for any finite number of oscillators. The existence of the two-cluster chimera state and its time-dependent behaviors for finite number of oscillators are confirmed by the theoretical analysis based on the self-consistency treatment and the Ott-Antonsen ansatz.

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Yun Zhu, Yuting Li, Mei Zhang, Junzhong Yang. 2011-09-20. The oscillating two-cluster chimera state in non-locally coupled phase oscillators. https://doi.org/10.1209/0295-5075%2F97%2F10009

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