2009/03/18 by I. A. Shuda, I A Shuda, S S Borysov +3
Environmental Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Degrees of freedom (physics and chemistry) #Ecosystem dynamics and resilience #Limit (mathematics) #Limit cycle #Resonance (particle physics) #Steady state (chemistry) #Stochastic process #Stochastic resonance #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/0031-8949/79/06/065001
11 pages, 4 figures. Submitted to Physica Scripta
arxiv created 2009/03/18 · openalex publication_date 2009/05/21 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We consider the effect of stochastic sources on the self-organization process being initiated with creation of the limit cycle. The general expressions obtained are applied to the stochastic Lorenz system to show that offset from the equilibrium steady state can destroy the limit cycle at a certain relation between characteristic scales of temporal variation of principal variables. Noise-induced resonance related to the limit cycle is found analytically to appear in the non-equilibrium steady state system if the fastest variations display a principal variable, which is coupled with two different degrees of freedom or more.