| 具有鞍结分岔的二次系统的同宿和时变分岔 |
| |
| 引用本文： | 化存才,刘延柱,陆启韶.具有鞍结分岔的二次系统的同宿和时变分岔[J].上海交通大学学报,2002,36(3):391-394. |
| |
| 作者姓名： | 化存才 刘延柱 陆启韶 |
| |
| 作者单位： | 1. 上海交通大学,建筑工程与力学学院,上海,200030
2. 北京航空航天大学,应用数学系,北京,100083 |
| |
| 基金项目： | 中国博士后科学基金 ( No.2 8)，上海市科技与发展基金 ( 98JC14 0 32 )，国家自然科学基金 ( 19872 0 10 )资助项目 |
| |
| 摘 要： | 在鞍结分岔的参数范围内证明了具有鞍结分岔的二次系统都存在同宿轨道 ,得到了同宿轨道的解析表达式及其幅值与分岔参数的关系 .当参数随时间慢变经过鞍结分岔值时 ,分析了分岔对于参数变化率的敏感依赖性 ,并给出预测分岔值的新方法
|
| 关 键 词： | 鞍结分岔 同宿分岔 时变分岔 |
| 文章编号： | 1006-2467(2002)03-0391-04 |
| 修稿时间： | 2001年4月19日 |
Homoclinic Bifurcation and Time-Dependent Bifurcation of Quadratic System with Saddle-Node Bifurcation |
| |
| HUA Cun cai ,LIU Yan zhu ,LU Qi shao.Homoclinic Bifurcation and Time-Dependent Bifurcation of Quadratic System with Saddle-Node Bifurcation[J].Journal of Shanghai Jiaotong University,2002,36(3):391-394. |
| |
| Authors: | HUA Cun cai LIU Yan zhu LU Qi shao |
| |
| Institution: | HUA Cun cai 1,LIU Yan zhu 1,LU Qi shao 2 |
| |
| Abstract: | It was proved that there exist homoclinic trajectories of a quadratic system in the range of the parameter of the saddle node bifurcation. The analytic expression for each homoclinic trajectory and the relation between the amplitude of the homoclinic trajectory and the bifurcation parameter were obtained. As the bifurcation parameter varies slowly with time passing through the saddle node bifurcation value, the sensitive dependence of the bifurcation on the changing rate of the parameter was analyzed and a new method for predicting the bifurcation value was given. |
| |
| Keywords: | saddle node bifurcation homoclinic bifurcation time dependent bifurcation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
