【作者】 吴平； 汪小帆； 王执铨；

【Author】 Wu Ping Wang Xiaofan Wang Zhiquan (Department of Automatic Control. Nanjing University of Science & Technology.Nanjing 210094)

【机构】 南京理工大学自动控制系；

【摘要】 本文采用kasminikii极限定理,随机平均法和FPK方程,研究一类非线性动力系统在随机干扰作用下的Hopf分叉现象,所得结果证实了确定性系统的 Hopf分叉在受到随机干扰作用下分叉点发生漂移的现象。更多还原

【Abstract】 In this paper, the Hopf bifurcation of non -linear system under stochastic force was studied, the limit theory of kasainikii, the stochastic averaging method and FPK equation were used, the stationary probability density funcfcon is obtained. It is shown thest the Hopf bifurcation point in the deterministic system which is excited by stochastic influence is shifted.更多还原