Local methods for constructing stationary distribution functions of systems of stochastic differential Langevin-type equations: noise influence on simple bifurcation.

DOI10.1007/BF01019152zbMath1084.60524MaRDI QIDQ1963575

I. I. Fedchenia

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsbifurcationGaussian approximationWhite noisehydrodynamic systemfunctional-rational approximationstationary distribution function

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamical aspects of statistical mechanics (37A60)

Related Items (2)

A two-dimensional Fokker-Planck equation degenerating on a straight line. ⋮ Fluctuations in a nonlinear laser field with coupling of additive noise terms

Cites Work

• Bifurcations in fluctuating systems: The center-manifold approach
• On the weak-noise limit of Fokker-Planck models
• On the theory of optimal control. Sufficient coordinates
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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