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Published in: Progress of Theoritical Physics supplyment, vol. 150, p. 435-438 Publication date: 2003

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 effect 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.

Keywords: nonlocal coupled oscillators ; wave propagation ; white gaussian noise ; Hopf bifurcation Reference LANOS-ARTICLE-2008-020doi:10.1143/PTPS.150.435

Author: Shiogai, Yuri; Kuramoto, Yoshiki

Source: https://infoscience.epfl.ch/record/117043?ln=en

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