Wave formation by time delays in randomly coupled oscillators

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We study the dynamics of randomly coupled oscillators when interactions between oscillators are time delayed due to the finite and constant speed of coupling signals. Numerical simulations show that the time delays, proportional to the Euclidean distances between interacting oscillators, can induce near regular waves in addition to near in-phase synchronous oscillations even though oscillators are randomly coupled. We discuss the stability conditions for the wave states and the in-phase synchronous states.
Publisher
AMER PHYSICAL SOC
Issue Date
2004-05
Language
English
Article Type
Article
Keywords

LIMIT-CYCLE OSCILLATORS; KURAMOTO MODEL; SYNCHRONIZATION; NETWORKS; SYSTEMS

Citation

PHYSICAL REVIEW E, v.69, no.5, pp.056106 - 5

ISSN
1539-3755
DOI
10.1103/PhysRevE.69.056106
URI
http://hdl.handle.net/10203/79647
Appears in Collection
PH-Journal Papers(저널논문)
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