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.

引用

页码：112 / 116

页数：5

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