Noise induced oscillations in non-equilibrium steady state systems

Details Noise induced oscillations in non-equilibrium steady state systems Noise induced oscillations in non-equilibrium steady state systems

2009-03-02

arxiv.org/abs/0903.0351v2

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures. Submitted to Physica Scripta

Scientific paper

We consider effect of stochastic sources upon self-organization process being initiated with creation of the limit cycle. General expressions obtained are applied to the stochastic Lorenz system to show that departure from equilibrium steady state can destroy the limit cycle at certain 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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