Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip

被引：1
|
作者：
Yancong Xu
Deming Zhu
机构：
[1] Zhejiang University,Department of Mathematics
[2] Hangzhou Normal University,Department of Mathematics
[3] East China Normal University,Department of Mathematics
来源：
Nonlinear Dynamics | 2010年 / 60卷
关键词：
Heterodimensional bifurcation; Orbit flip; Inclination flip;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the bifurcations of heterodimensional cycles are investigated by setting up a suitable local coordinate system in a four-dimensional system. Under some ungeneric conditions—one orbit flip and one inclination flip—the persistence of heterodimensional cycles, the existence of homoclinic orbit and a family of periodic orbits, the coexistence of heterodimensional loop and periodic orbit are obtained. Also, the relevant bifurcation surfaces and their existing regions are given.
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页码：1 / 13
页数：12
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