Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System

被引：36

作者：

Carmona, Victoriano ^{[1
]}

Fernandez-Sanchez, Fernando ^{[1
]}

Teruel, Antonio E. ^{[2
]}

机构：

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

[2] Univ Illes Balears, Dept Matemat & Informat, Palma de Mallorca 07122, Spain

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2008年 / 7卷 / 03期

关键词：

piecewise linear systems; heteroclinic orbits; invariant manifolds;

D O I：

10.1137/070709542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems. In this paper we give an analytical proof of the existence of a reversible T-point heteroclinic cycle in a continuous piecewise linear version of the widely studied Michelson system. The principal ideas of this proof can be extended to other piecewise linear systems.

引用

页码：1032 / 1048

页数：17

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