作　　者： ; ; ; ;

机构地区： 佛山大学理学院信息科学与数学系

出　　处： 《物理学报》 2005年第10期4610-4613,共4页

摘　　要： 研究了软弹簧Duffing振子在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. The erosion of the safe basins of a softening Duffing oscillator under harmonic or bounded random noise is studied in detail using the Monte-Carlo method. As an alternative, stochastic bifurcation may be defined as a sudden change in the character of the stochastic safe basin when the bifurcation parameter of the system passes through a critical value. This definition applies equally well either to randomly perturbed motion, or to purely deterministic motion. It is found that random noise may destroy the integrity of safe basins and bring about stochastic bifurcation, hence make the system more unsafe.

关 键 词： 振子 有界随机噪声 安全盆 分叉 随机噪声激励 分叉点 软弹簧 有界 随机扰动 计算表

领　　域： [理学] [理学] [建筑科学] [建筑科学]