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Title: Approximation of stochastic equilibria for dynamic systems with colored noise

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.4913068· OSTI ID:22391160
 [1]
  1. Ural Federal University, Lenina 51, Ekaterinburg, 620083 (Russian Federation)

We consider nonlinear dynamic systems forced by colored noise. Using first approximation systems, we study dynamics of deviations of stochastic solutions from stable deterministic equilibria. Equations for the stationary second moments of deviations of random states are derived. An application of the elaborated theory to Van der Pol system driven by colored noise is given. A dependence of the dispersion on the time correlation of the colored noise is studied.

OSTI ID:
22391160
Journal Information:
AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English