| 倾斜翻转同宿分支中的同宿轨与周期轨的共存性 |
| |
| 引用本文： | 水树良,傅新楚.倾斜翻转同宿分支中的同宿轨与周期轨的共存性[J].上海大学学报(自然科学版),2006,12(5):473-476. |
| |
| 作者姓名： | 水树良 傅新楚 |
| |
| 作者单位： | 1. 上海大学,理学院,上海,200444;浙江师范大学,数理学院,金华,321004
2. 上海大学,理学院,上海,200444 |
| |
| 摘 要： | 在同宿轨附近建立活动坐标架可研究向量场的同宿轨分支.该文在已有的关于1-周期轨的存在条件、个数及与倾斜翻转强度的相关依赖性方面结论的基础上,进一步研究这类分支的同宿轨与周期轨的共存性.主要结论为这类系统在分支出一个同宿轨的同时所能分支出的周期轨的个数也依赖于倾斜翻转的强度.
|
| 关 键 词： | 分支 同宿轨 倾斜翻转 1-周期轨 |
| 文章编号： | 1007-2861(2006)05-0473-04 |
| 修稿时间： | 2005年11月28 |
Coexistence of Homoclinic Orbits and Periodic Orbits in Homoclinic Bifurcations with Two Inclination Flips |
| |
| SHUI Shu-liang,FU Xin-chu.Coexistence of Homoclinic Orbits and Periodic Orbits in Homoclinic Bifurcations with Two Inclination Flips[J].Journal of Shanghai University(Natural Science),2006,12(5):473-476. |
| |
| Authors: | SHUI Shu-liang FU Xin-chu |
| |
| Abstract: | Homoclinic bifurcations in vector fields can be studied by setting up a local coordinates near a homoclinic orbit.Based on some known results of the existence conditions,the number,and the dependence on strength of the inclination flip,the coexistence of homoclinic orbits and periodic orbits in this homoclinic bifurcations is further discussed.It is shown that the numbers of both periodic orbits and homoclinc orbits bifurcated from this kind of homoclinic orbits depend heavily on the strength of the inclination flip. |
| |
| Keywords: | bifurcation homoclinic orbit inclination flip periodic orbit |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
