Wave Propagation in Nonlocally Coupled Oscillators With Noise

Details Wave Propagation in Nonlocally Coupled Oscillators With Noise Wave Propagation in Nonlocally Coupled Oscillators With Noise

2002-12-22

arxiv.org/abs/nlin/0212047v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages

Scientific paper

10.1143/PTPS.150.435

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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