Bifurcation sets of symmetrical continuous piecewise linear systems with three zones

被引：30

作者：

Freire, E ^{[1
]}

Ponce, E ^{[1
]}

Rodrigo, F ^{[1
]}

Torres, F ^{[1
]}

机构：

[1] Escuela Univ Politecn, Dept Matemat Aplicada 2, Seville 41011, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 08期

关键词：

piecewise linear systems; Poincare half-maps; invariant closed curves;

D O I：

10.1142/S0218127402005509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Planar symmetrical continuous piecewise linear vector fields with three zones are thoroughly analyzed. Special emphasis is placed on their oscillatory behavior. The study is made by using a Van der Pol canonical form which captures the most interesting dynamics and minimizes the number of parameters to be dealt with. This work is a continuation of a previous paper [Freire et al., 1998] and uses the same approach and techniques.

引用

页码：1675 / 1702

页数：28

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