Noise induced Hopf bifurcation

Details Noise induced Hopf bifurcation Noise induced Hopf bifurcation

2008-09-28

arxiv.org/abs/0809.4830v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

We 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.

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