Subharmonic Bifurcations from Normally Nonhyperbolic Periodic Manifolds

被引：0
|
作者：
Meng Yanshuang [1 ]
Zhou Lingli [1 ]
机构：
[1] Shandong Jiaotong Univ, Coll Sci, Jinan 250023, Peoples R China
来源：
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
关键词：
Floquet method; exponential trichotomy; Poincare map; subharmonic orbits; DISTRIBUTED DELAYS; NEURAL-NETWORKS; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
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页码：112 / 116
页数：5
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