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Progress of Theoretical Physics
Article
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arXiv.org e-Print Archive
Preprint . 2002
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Progress of Theoretical Physics
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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Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles

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, volume 109, pages 133-138 (issn: 0033-068X, eissn: 1347-4081, Copyright policy )
Authors: Tachikawa, Masashi;

doi: 10.1143/ptp.109.133 , 10.48550/arxiv.nlin/0212020

arXiv: nlin/0212020

Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles

Abstract

A square lattice distribution of coupled oscillators that have heteroclinic cycle attractors is studied. In this system, we find a novel type of patterns that is spatially disordered and periodic in time. These patterns are limit cycle attractors in the ambient phase space (i.e. not chaotic) and many limit cycles exist dividing the phase space as their basins. The patterns are constructed with a local law of difference of phases between the oscillators. The number of patterns grows exponentially with increasing of the number of oscillators.

10 pages, 6 figures

Related Organizations
Keywords

FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics

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    influence
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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