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arXiv · 1710.00483

Breathing multichimera states in nonlocally coupled phase oscillators

Yusuke Suda·Koji Okuda
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Abstract

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on multichimera states with two coherent and incoherent regions, and numerically demonstrate that breathing multichimera states, whose global order parameter oscillates temporally, can appear. Moreover, we show that the system exhibits a Hopf bifurcation from a stationary multichimera to a breathing one by the linear stability analysis for the stationary multichimera.

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Yusuke Suda, Koji Okuda. 2017-10-02. Breathing multichimera states in nonlocally coupled phase oscillators. https://doi.org/10.1103/physreve.97.042212

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