首页|Logical stochastic resonance in a cross-bifurcation non-smooth system
Logical stochastic resonance in a cross-bifurcation non-smooth system
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This paper investigates logical stochastic resonance(LSR)in a cross-bifurcation non-smooth system driven by Gaus-sian colored noise.In this system,a bifurcation parameter triggers a transition between monostability,bistability and tristability.By using Novikov's theorem and the unified colored noise approximation method,the approximate Fokker-Planck equation is obtained.Then we derive the generalized potential function and the transition rates to analyze the LSR phenomenon using numerical simulations.We simulate the logic operation of the system in the bistable and tristable re-gions respectively.We assess the impact of Gaussian colored noise on the LSR and discover that the reliability of the logic response depends on the noise strength and the bifurcation parameter.Furthermore,it is found that the bistable region has a more extensive parameter range to produce reliable logic operation compared with the tristable region,since the tristable region is more sensitive to noise than the bistable one.
logical stochastic resonancebifurcationmean first passage time
张宇青、雷佑铭
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School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,China
Ministry of Industry and Information Technology Key Laboratory of Dynamics and Control of Complex Systems,Northwestern Polytechnical University,Xi'an 710072,China
国家自然科学基金Shaanxi Computer Society & Xiangteng Company Foundation
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