Wave Propagation in Nonlocally Coupled Oscillators With Noise
Pattern Formation and Solitons
2009-11-07 v1
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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Cite
@article{arxiv.nlin/0212047,
title = {Wave Propagation in Nonlocally Coupled Oscillators With Noise},
author = {Yuri Shiogai and Yoshiki Kuramoto},
journal= {arXiv preprint arXiv:nlin/0212047},
year = {2009}
}
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4 pages