Noise induced Hopf bifurcation

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dc.creatorShuda, I A
dc.creatorBorysov, S S
dc.creatorOlemskoi, A I
dc.date2008-09-28
dc.date.accessioned2026-07-07T10:06:03Z
dc.date.available2026-07-07T10:06:03Z
dc.descriptionWe consider effect of stochastic sources upon self-organization process being initiated with creation of the limit cycle induced by the Hopf bifurcation. General relations obtained are applied to the stochastic Lorenz system to show that departure from equilibrium steady state can destroy the limit cycle in dependence of relation between characteristic scales of temporal variation of principle variables. Noise induced resonance related to the limit cycle is found to appear if the fastest variations displays a principle variable, which is coupled with two different degrees of freedom or more.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0809.4830
dc.identifierhttp://arxiv.org/abs/0809.4830
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170200
dc.subjectStatistical Mechanics
dc.titleNoise induced Hopf bifurcation
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