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Progress of Theoretical Physics Supplement
Article
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arXiv.org e-Print Archive
Preprint . 2002
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Progress of Theoretical Physics Supplement
Article . 2003 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1143/ptp...
Article
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https://dx.doi.org/10.1143/ptp...
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Wave Propagation in Nonlocally Coupled Oscillators with Noise

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2003Embargo end date: 01 Jan 2002 English Publisher:Oxford University Press (OUP)Journal:Progress of Theoretical Physics Supplement, volume 150, pages 435-438 (issn: 0375-9687, Copyright policy )
Authors: Shiogai, Yuri; Kuramoto, Yoshiki;

doi: 10.1143/ptps.150.435 , 10.48550/arxiv.nlin/0212047

arXiv: nlin/0212047

Wave Propagation in Nonlocally Coupled Oscillators with Noise

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.

4 pages

Related Organizations
Keywords

FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Average
Average
Green
bronze