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Wave Propagation in Nonlocally Coupled Oscillators With Noise

Yuri Shiogai·Yoshiki Kuramoto
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Abstract

The onset of undamped wave propagation in noisy self-oscillatory media is identified with a Hopf bifurcation of the corresponding effective dynamical system obtained by properly renormalizing the effects of noise. We illustrate this fact on a dense array of nonlocally coupled phase oscillators for which a mean-field idea works exactly in deriving such effective dynamical equations.

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Yuri Shiogai, Yoshiki Kuramoto. 2002-12-22. Wave Propagation in Nonlocally Coupled Oscillators With Noise. https://doi.org/10.1143/ptps.150.435

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