有界随机噪声激励下非线性系统的安全盆分叉  

Bifurcation of safe basins in nonlinear oscillator under bounded noise excitation

作　　者：苏敏邦[1] 戎海武[1] 

机构地区：[1]佛山科学技术学院信息科学与数学系,广东佛山528000

出　　处：《佛山科学技术学院学报（自然科学版）》2009年第4期24-28,共5页Journal of Foshan University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10332030;10472091);广东省自然科学基金资助项目(04011640)

摘　　要：研究了带有平方项的非线性系统在确定性周期外力和有界随机噪声激励下,系统安全盆的侵蚀现象,并提出了随机安全盆分叉的概念。计算表明,由于随机扰动的影响,系统的随机安全盆分叉点发生了偏移。而增加系统的阻尼,减小系统的非线性强度,可以增大系统的安全盆区域。The erosion of the safe basins of a nonlinear oscillator under harmonic or hounded random noise is studied in detail by the Monte-Carlo method. As an alternative definition, stochastic bifurcation may be defined as a sudden change in the character of the stochastic safe basins when the bifurcation parameter of the system passes through a critical value. This definition applies equally well either to randomly perturbed motions, or to purely deterministic motions. It is founded that random noise may destroy the integrity of the safe basins and bring forward the occurrence of the stochastic bifurcation, hence make the system less safe, however, this can be improved by increasing the system＇s damp and decreasing the system＇s nonlinearity.

关 键 词：非线性系统 有界随机噪声 安全盆 分叉 

分 类 号：O324[理学—一般力学与力学基础]