Wave Propagation in Nonlocally Coupled Oscillators with Noise | Zendy

Yuri Shiogai | Zendy; Yoshiki Kuramoto | Zendy

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Wave Propagation in Nonlocally Coupled Oscillators with Noise

Author(s) -

Yuri Shiogai,

Yoshiki Kuramoto

Publication year - 2003

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.150.435

Subject(s) - physics , noise (video) , hopf bifurcation , bifurcation , dynamical systems theory , classical mechanics , wave propagation , field (mathematics) , statistical physics , mathematics , quantum mechanics , nonlinear system , computer science , image (mathematics) , artificial intelligence , pure mathematics

The onset of undamped wave propagation in noisy self-oscillatory media isidentified with a Hopf bifurcation of the corresponding effective dynamicalsystem obtained by properly renormalizing the effects of noise. We illustratethis fact on a dense array of nonlocally coupled phase oscillators for which amean-field idea works exactly in deriving such effective dynamical equations.Comment: 4 page

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