Transition to complete synchronization in phase coupled oscillators with nearest neighbours coupling

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dc.creatorEl-Nashar, Hassan F.
dc.creatorMuruganandam, Paulsamy
dc.creatorFerreira, Fernando F.
dc.creatorCerdeira, Hilda A.
dc.date2008-12-04
dc.date.accessioned2026-07-07T12:35:05Z
dc.date.available2026-07-07T12:35:05Z
dc.descriptionWe investigate synchronization in a Kuramoto-like model with nearest neighbour coupling. Upon analyzing the behaviour of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the time dependence of the frequencies of the oscillators exhibits universal scaling and blows up at the critical coupling strength. We also bring out a key mechanism that leads to phase locking. Finally, we deduce forms for the phases and frequencies at the onset of complete synchronization.
dc.description6 pages, 4 figures, to appear in CHAOS
dc.identifierhttps://arxiv.org/abs/0812.0998
dc.identifierhttp://arxiv.org/abs/0812.0998
dc.identifierChaos 19, 013103 (2009)
dc.identifierdoi:10.1063/1.3056047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217660
dc.subjectChaotic Dynamics
dc.titleTransition to complete synchronization in phase coupled oscillators with nearest neighbours coupling
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