倾斜翻转同宿分支中的同宿轨与周期轨的共存性  

Coexistence of Homoclinic Orbits and Periodic Orbits in Homoclinic Bifurcations with Two Inclination Flips

作　　者：水树良[1] 傅新楚[1] 

机构地区：[1]上海大学理学院

出　　处：《上海大学学报（自然科学版）》2006年第5期473-476,480,共5页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10471087)

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.Homoclinic bifurcations in vector fields homoclinic orbit. Based on some known results of can be studied by setting up a local coordinates near a 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.

关 键 词：分支 同宿轨 倾斜翻转 1-周期轨 

分 类 号：O175.12[理学—数学]