Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems

被引：17

作者：

Carmona, V ^{[1
]}

Freire, E ^{[1
]}

Ponce, E ^{[1
]}

Torres, F ^{[1
]}

机构：

[1] Univ Sevilla, Escuela Super Ingn, Dept Matemat Aplicada 2, Seville 41092, Spain

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2004年 / 69卷 / 01期

关键词：

piecewise linear systems; invariant manifolds; periodic orbits;

D O I：

10.1093/imamat/69.1.71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyses the existence of invariant manifolds of periodic orbits for a specific piecewise linear three-dimensional system with two zones, whose linear parts share a pair of imaginary eigenvalues. This degenerate situation is obtained from the lack of controllability. The analysis proceeds by its reduction to a periodic one-dimensional equation for which some results of the Ambrosetti-Prodi type are given.

引用

页码：71 / 91

页数：21

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