Study on the mean first-passage time and stochastic resonance of a multi-stable system with colored correlated noises

被引：28

作者：

Han, Dongying ^{[1
]}

Shi, Peiming ^{[2
]}

机构：

[1] Yanshan Univ, Sch Vehicles & Energy, Qinhuangda 066004, Peoples R China

[2] Yanshan Univ, Sch Elect Engn, Qinhuangda 066004, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2021年 / 69卷

基金：

中国国家自然科学基金;

关键词：

Stochastic resonance; Multi-stable system; Colored correlated noises; Mean first-passage time;

D O I：

10.1016/j.cjph.2020.11.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The mean first-passage time (MFPT) and the weak signal detection method of stochastic resonance (SR) on multi-stable nonlinear system under color correlated noise are studied. Using the uniform color noise approximation method, the Fokker-Planck equation of the system is obtained, and the steady-state probability density function of the multi-stable system driven by the multiplicative noise and additive noise is derived. On the basis of this, the formula of MFPT is derived, and the influence of parameters on the MFPT is analyzed. The problem of weak signal detection under color noise background is studied based on multi-stable SR. The results of simulation and experiment show that the method can effectively extract the frequency feature of weak signal in the background of color noise.

引用

页码：98 / 107

页数：10

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