| 有界随机噪声激励下非线性系统的安全盆分叉 |
| |
| 引用本文： | 苏敏邦,戎海武.有界随机噪声激励下非线性系统的安全盆分叉[J].佛山科学技术学院学报(自然科学版),2009,27(4):24-28. |
| |
| 作者姓名： | 苏敏邦 戎海武 |
| |
| 作者单位： | 佛山科学技术学院,信息科学与数学系,广东,佛山,528000 |
| |
| 基金项目： | 国家自然科学基金资助项目，广东省自然科学基金资助项目 |
| |
| 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。
|
| 关 键 词： | 非线性系统 有界随机噪声 安全盆 分叉 |
Bifurcation of safe basins in nonlinear oscillator under bounded noise excitation |
| |
| SU Min-bang,RONG Hai-wu.Bifurcation of safe basins in nonlinear oscillator under bounded noise excitation[J].Journal of Foshan University(Natural Science Edition),2009,27(4):24-28. |
| |
| Authors: | SU Min-bang RONG Hai-wu |
| |
| Institution: | Department of Information Sciences and Mathematics;Foshan University;Foshan 528000;China |
| |
| Abstract: | The erosion of the safe basins of a nonlinear oscillator under harmonic or bounded 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 in... |
| |
| Keywords: | nonlinear oscillator bounded random noise safe basins stochastic bifurcation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
