Final published version
Research output: Contribution to Journal/Magazine › Conference article › peer-review
Research output: Contribution to Journal/Magazine › Conference article › peer-review
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TY - JOUR
T1 - Non-equilibrium distributions at finite noise intensity
AU - Bandrivskyy, A.
AU - Beri, S.
AU - Luchinsky, D. G.
PY - 2003/9/19
Y1 - 2003/9/19
N2 - The non-equilibrium distribution in dissipative dynamical systems with unstable limit cycle is analyzed in the next-to-leading order of the small-noise approximation of the Fokker-Planck equation. The noise-induced variations of the non-equilibrium distribution are described in terms of topological changes in the pattern of optimal paths. It is predicted that singularities in the pattern of optimal paths are shifted and cross the basin boundary in the presence of finite noise. As a result the probability distribution oscillates at the basin boundary. Theoretical predictions are in good agreement with the results of numerical solution of the Fokker-Planck equation and Monte Carlo simulations.
AB - The non-equilibrium distribution in dissipative dynamical systems with unstable limit cycle is analyzed in the next-to-leading order of the small-noise approximation of the Fokker-Planck equation. The noise-induced variations of the non-equilibrium distribution are described in terms of topological changes in the pattern of optimal paths. It is predicted that singularities in the pattern of optimal paths are shifted and cross the basin boundary in the presence of finite noise. As a result the probability distribution oscillates at the basin boundary. Theoretical predictions are in good agreement with the results of numerical solution of the Fokker-Planck equation and Monte Carlo simulations.
KW - Fokker-Planck equation
KW - Non-equilibrium fluctuations
KW - Optimal paths
U2 - 10.1117/12.488981
DO - 10.1117/12.488981
M3 - Conference article
AN - SCOPUS:0041823463
VL - 5114
SP - 94
EP - 101
JO - Proceedings of SPIE - The International Society for Optical Engineering
JF - Proceedings of SPIE - The International Society for Optical Engineering
SN - 0277-786X
T2 - Noise in Complex Systems and Stochastic Dynamics
Y2 - 2 June 2003 through 4 June 2003
ER -