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Title: Analysis of stochastically forced quasi-periodic attractors

A problem of the analysis of stochastically forced quasi-periodic auto-oscillations of nonlinear dynamic systems is considered. A stationary distribution of random trajectories in the neighborhood of the corresponding deterministic attractor (torus) is studied. A parametric description of quadratic approximation of the quasipotential based on the stochastic sensitivity functions (SSF) technique is given. Using this technique, we analyse a dispersion of stochastic flows near the torus. For the case of two-torus in three-dimensional space, the stochastic sensitivity function is constructed.
Authors:
 [1]
  1. Ural Federal University, Lenina, 51, Ekaterinburg, 620000 (Russian Federation)
Publication Date:
OSTI Identifier:
22496240
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1690; Journal Issue: 1; Conference: AMEE '15: 41. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ATTRACTORS; DISPERSIONS; DISTRIBUTION; FUNCTIONS; NONLINEAR PROBLEMS; OSCILLATIONS; PERIODICITY; RANDOMNESS; SENSITIVITY; STOCHASTIC PROCESSES; THREE-DIMENSIONAL CALCULATIONS; THREE-DIMENSIONAL LATTICES