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关联的乘性和加性驱动的三稳系统稳态分析

张卜 宁丽娟

纺织高校基础科学学报2016,Vol.29Issue(4):496-500,5.
纺织高校基础科学学报2016,Vol.29Issue(4):496-500,5.DOI:10.13338/j.issn.1006-8341.2016.04.014

关联的乘性和加性驱动的三稳系统稳态分析

Steady-state analysis of a triple-well potential system with correlations between multiplicative and additive noise

张卜 1宁丽娟1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 折叠

摘要

Abstract

By virtue of the Liouville equation and Novikov theorem,the expressions of the stationary probability distribution function of one-dimensional triple-well potential system with correlations between multiplicative and additive noises are investigated.The results show that the intensity of cross-correlation λ and the intensity of multiplicative noise P can induce transition;the intensity of additive noise Q can not induce transition.The accuracy of the conclusion is verified by using numerical simulation stationary probability distribution function.

关键词

三稳系统/噪声/相变/稳态概率密度函数

Key words

triple-well system/noise/transition/stationary probability distribution function

分类

数理科学

引用本文复制引用

张卜,宁丽娟..关联的乘性和加性驱动的三稳系统稳态分析[J].纺织高校基础科学学报,2016,29(4):496-500,5.

基金项目

国家自然科学基金资助项目(11202120) (11202120)

纺织高校基础科学学报

OACSTPCD

1006-8341

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