| 时滞Rayleigh方程的稳定性与分支分析 |
| |
| 引用本文： | 庄科俊.时滞Rayleigh方程的稳定性与分支分析[J].广西师范学院学报(自然科学版),2006,23(2):20-22,28. |
| |
| 作者姓名： | 庄科俊 |
| |
| 作者单位： | 华南师范大学,数学科学学院,广东,广州,510631 |
| |
| 摘 要： | 对一类时滞Rayleigh方程的稳定性和Hopf分支进行了研究.首先,以滞量为参数,讨论了零解的稳定性及Hopf分支的存在性.然后,利用中心流形定理和规范型理论,给出了在第一个分支点处的分支方向及周期解的性质.
|
| 关 键 词： | Rayleigh方程 Hopf分支 时滞 稳定性 |
| 文章编号： | 1002-8743（2006）02-0020-03 |
| 收稿时间： | 2006-03-12 |
| 修稿时间： | 2006-03-12 |
Stability and Bifurcation Analysis for a Delayed Rayleigh Equation |
| |
| ZHUANG Ke-jun.Stability and Bifurcation Analysis for a Delayed Rayleigh Equation[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2006,23(2):20-22,28. |
| |
| Authors: | ZHUANG Ke-jun |
| |
| Institution: | School of Mathematical Sciences, South China Normal University, Guangzhou 510631 |
| |
| Abstract: | This paper deals with the delayed Rayleigh equation.Firstly,the stability of zero solution and the existence of Hopf bifurcation are discussed by analyzing the associated characteristic transcendental equation.Then,the direction and stability of bifurcating periodic solutions are determined by applying the center manifold theorem and normal form theory. |
| |
| Keywords: | Rayleigh equation Hopf bifurcation delay stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
