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Phase resetting, clusters, and waves in a lattice of coupled oscillatory units

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Makarov, Valeri A. and Nekorkin, Vladimir I. and Velarde, Manuel G. (2001) Phase resetting, clusters, and waves in a lattice of coupled oscillatory units. International Journal of Bifurcation and Chaos, 11 (1). pp. 109-122. ISSN 0218-1274

Official URL: http://www.worldscinet.com/ijbc/11/1101/S0218127401001931.html




Abstract

A one-dimensional chain consisting of many locally coupled oscillatory units is considered when both diffusive (linear) and nonlinear interactions exist. The dynamics of units may also be altered by a weak white Gaussian noise. Two different collective evolutionary paths have been identified in the chain: (i) the onset of temporal phase clusters and their subsequent breakdown or reconstruction through phase resetting, and (ii) the formation of a phase wave during a process of selforganization. Such a wave may originate from an initially disordered pattern after appropriate reorganization of phases and amplitudes occurring on a time lapse that can be very long.


Item Type:Article
Uncontrolled Keywords:Bistable oscillators; Stochastic resonance; Spatial disorder; Chain; Synchronization; Systems; Chaos
Subjects:Sciences > Computer science > Operating systems
ID Code:17060
Deposited On:13 Nov 2012 10:21
Last Modified:12 Dec 2018 15:07

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