Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators

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dc.creatorJosic, Kresimir
dc.creatorWayne, C. Eugene
dc.date1999-05-11
dc.date.accessioned2026-07-07T03:13:26Z
dc.date.available2026-07-07T03:13:26Z
dc.descriptionWe study the dynamics of a finite chain of diffusively coupled Lorenz oscillators with periodic boundary conditions. Such rings possess infinitely many fixed states, some of which are observed to be stable. It is shown that there exists a stable fixed state in arbitrarily large rings for a fixed coupling strength. This suggests that coherent behavior in networks of diffusively coupled systems may appear at a coupling strength that is independent of the size of the network.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9905140
dc.identifierhttp://arxiv.org/abs/cond-mat/9905140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29293
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleDynamics of a Ring of Diffusively Coupled Lorenz Oscillators
dc.typetext

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