| Steady-state analysis subject to a coloured and a white additive of a bistable system multiplicative noise noise with coloured cross-correlated noises |
| |
| 作者姓名： | 王参军 陈世波 梅冬成 |
| |
| 作者单位： | Department of Physics, Yunnan University, Kunming 650091, China；Nonlinear Research Institute, Baoji University of Sciences and Arts, Baoji 721007, China;Department of Physics, Yunnan University, Kunming 650091, China;Department of Physics, Yunnan University, Kunming 650091, China |
| |
| 基金项目： | Project supported by the National Nature Science Foundation of China (Grant No 10363001) and the
project of Baoji University of Sciences and Arts of China (Grant No ZK2508). |
| |
| 摘 要： | The steady-state properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different values of noise correlation times T1 and T2. After introducing a dimensionless parameter R（R = α/D, D is the intensity of the multiplicative noise and a is the intensity of the additive noise）, and performing the numerical computations, we find the following points： （1） For the case of R 〉 1, A （the intensity of correlation between additive and multiplicative noises）, T1 and T2 can induce the stationary probability distribution （SPD） transition from bimodal to unimodal in structure, but for the cases of R _〈 1, the bimodal structure is preserved; （2） a can also induce the SPD transition from bimodal to unimodal in structure; （3） the bimodal structure of the SPD exhibits a symmetrical structure as D increases.
|
| 关 键 词： | 双稳态系统 相关噪音 固定概率分布 稳定态 |
| 收稿时间： | 2005-10-28 |
| 修稿时间： | 2005-10-282006-04-11 |
Steady-state analysis of a bistable system subject to a coloured multiplicative noise and a white additive noise with coloured cross-correlated noises |
| |
| Wang Can-Jun,Chen Shi-Bo and Mei Dong-Cheng.Steady-state analysis subject to a coloured and a white additive of a bistable system multiplicative noise noise with coloured cross-correlated noises[J].Chinese Physics B,2006,15(7):1435-1440. |
| |
| Authors: | Wang Can-Jun Chen Shi-Bo and Mei Dong-Cheng |
| |
| Institution: | 1. Department of Physics, Yunnan University, Kunming 650091, China ;2.Nonlinear Research Institute, Baofi University of Sciences and Arts, Baofi 721007, China |
| |
| Abstract: | The steady-state properties of a bistable system are investigated when both the
multiplicative noise and the coupling between additive and multiplicative noises are
coloured with different values of noise correlation times \tau_1 and \tau_2.
After introducing a dimensionless parameter R(R=\alpha/D, D is the intensity
of the multiplicative noise and \alpha is the intensity of the additive noise),
and performing the numerical computations, we find the following points: (1) For the
case of R>1, \lambda (the intensity of correlation between additive and
multiplicative noises),\tau_{1} and \tau_{2} can induce the stationary
probability distribution (SPD) transition from bimodal to unimodal in structure, but
for the cases of R\leq1, the bimodal structure is preserved; (2) \alpha can also
induce the SPD transition from bimodal to unimodal in structure; (3) the bimodal
structure of the SPD exhibits a symmetrical structure as D increases. |
| |
| Keywords: | bistable system correlated noise stationary probability distribution |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
