Open AccessA NUMERICAL STUDY OF THE FOKKER-PLANCK EQUATION FOR STOCHASTIC RESONANCE PROBLEM
Author(s) -
Zhi-Heng Lu,
JinMing Lin,
Gang Hu
Publication year - 1993
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.42.1556
Subject(s) - fokker–planck equation , adiabatic process , bistability , physics , stochastic resonance , adiabatic theorem , cover (algebra) , amplitude , resonance (particle physics) , statistical physics , classical mechanics , mathematical analysis , mathematics , quantum mechanics , partial differential equation , computer science , noise (video) , mechanical engineering , artificial intelligence , image (mathematics) , engineering
The behavior of Fokker-Planck Equation for a stochastic resonance problem is studied by using finite difference schemes. The numerical results coincide with the analytical approximate theory under the conditions of adiabatic approximation ω?D?△V and small signal approximation A?1. Although the system rexhibits evidently deterministic non-linear vibration properties when the amplitude of periodic driving force is large, the adiabatic approximate analytical theory can cover the principal properties of stochastic resonance which occurs in the bistable system.