Subharmonic Bifurcations from Normally Nonhyperbolic Periodic Manifolds

摘要：

A higher dimensional system which has a normally nonhyperbolic periodic manifold is studied in this paper. Assume that the system has an invariant manifold, which consists entirely of periodic orbits and has a center subspace with two dimensions in normal direction. By using exponential trichotomy, Poincare map and the implicit function theorem, the existence of the subharmonic orbits is given.

关键词： Floquet method exponential trichotomy Poincare map subharmonic orbits

作者: MENG Yanshuang ZHOU Lingli

作者单位: College of Science, Shandong Jiaotong University, Jinan 250023, China

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 112-116

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）