摘要
研究关联噪声与周期信号共同激励下周期势系统的动力学特性.首先利用统一色噪声近似的方法,将二维马尔可夫过程简化为一维非马尔可夫过程,得到了周期势系统的Fokker-Planck(FPK)方程;然后在理论上推导出系统的准稳态概率密度函数(quasi-steady-state probability density,简称QSPD)的表达式;最后进一步运用4阶龙格库塔算法对QSPD进行数值模拟,分析了噪声及系统各参数对该周期势系统QSPD的影响.
The dynamic characteristics of periodic potential system subjected to correlated noise and periodic signal were investigated in this paper.Firstly,the two-dimensional Markov process was transformed into one-dimensional non-Markov process by using the unified colored noise approximation method.Then,the Fokker-Planck(FPK)equation of periodic potential system was derived,and the expression of quasi-steady-state probability density(QSPD)was further derived.The fourth-order Runge-Kutta algorithm was used in numerical simulation of the QSPD,and the effects of various parameters on the QSPD of periodic potential system were analyzed.
作者
郭永峰
娄晓娟
董强
王琳杰
GUO Yongfeng;LOU Xiaojuan;DONG Qiang;WANG Linjie(School of Mathematical Sciences,Tianjin Polytechnic University,Tianjin 300387,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第1期7-13,共7页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11672207)
天津市自然科学基金资助项目(17JCYBJC15700)。
关键词
周期势系统
关联噪声
准稳态概率密度
噪声诱导相变
periodic potential system
correlated noises
quasi-steady-state probability density
noise-induced transition
