文档介绍：Poincaré映射论文:具有双轨道翻转的粗异宿环分支
【中文摘要】,然后建立Poincare映射推导出分支方程,并通过对分支方程的研究,我们得到了原异宿环保存和同宿环存在的条件,异宿环与周期轨和同宿轨的不可共存性以及异宿环与周期轨、同宿环与周期轨的共存性条件,.
【英文摘要】In this paper, heteroclinic loop bifurcations with two orbit flips are in-vestigated in a four dimensional vector fields. We get the bifurcation equations by setting up a local coordinate near the rough heteroclinic orbit and estab-lishing the Poincare map. The persistence of heteroclinic orbit, the existence of homoclinic orbits, the noncoexistence of heteroclinic loop and periodic orbit or homoclinic orbit, the noncoexistence and coexistence of heteroclinic and periodic orbit、homoclinic orbits and periodi...
【关键词】Poincaré映射异宿轨轨道翻转分支周期轨
【英文关键词】Poincarémap Heteroclinic orbits Orbit flips Bifu