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Frequency coupling in bistable system and the mechanism of stochastic resonance
Author(s) -
Min Lin,
Ying Meng
Publication year - 2010
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.59.3627
Subject(s) - bistability , stochastic resonance , coupling (piping) , physics , frequency analysis , signal (programming language) , resonance (particle physics) , statistical physics , control theory (sociology) , acoustics , computer science , atomic physics , quantum mechanics , materials science , noise (video) , control (management) , artificial intelligence , metallurgy , image (mathematics) , programming language
We study the motion of a particle in a bistable potential in the presence of single frequency signal and dual-frequency signal, and give the approximate analytical relationship between response peak-to-peak value and driven peak-to-peak value of the bistable system under the control of dual-frequency signal. The paper also reveals a peculiar phenomenon of the non-linear system, that is frequency coupling of different frequencies and the energy infiltration from the frequency of input to the other. The analysis is carried out from the view point of dynamics mechanism and the frequency spectrum distribution. It deepens the understanding of the mechanism of stochastic resonance in the bistable system. The results of numerical simulation prove the validity of theoretical analysis.

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