Time-delayed spatial patterns in a two-dimensional array of coupled oscillators

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We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control parameter in this study. It is found that distance-dependent time delays induce various patterns including traveling rolls, squarelike and rhombuslike patterns, spirals, and targets. We analyzed the stability boundaries of the emerging patterns and briefly pointed out the possible empirical implications of such time-delayed patterns.
Publisher
AMERICAN PHYSICAL SOC
Issue Date
2002-10
Language
English
Article Type
Article
Keywords

LIMIT-CYCLE OSCILLATORS; MUTUAL ENTRAINMENT; PHASE DYNAMICS; SYNCHRONIZATION; SYSTEMS; CORTEX; KURAMOTO; WAVES; DEATH; MAPS

Citation

PHYSICAL REVIEW LETTERS, v.89, no.15

ISSN
0031-9007
URI
http://hdl.handle.net/10203/84286
Appears in Collection
PH-Journal Papers(저널논문)
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