PERIODIC ORBITS AND INVARIANT CONES IN THREE-DIMENSIONAL PIECEWISE LINEAR SYSTEMS

被引：10

作者：

Carmona, Victoriano ^{[1
]}

Freire, Emilio ^{[1
]}

Fernandez-Garcia, Soledad ^{[2
]}

机构：

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

[2] Inria, Paris Rocquencourt Ctr, MYCENAE Project Team, F-78153 Le Chesnay, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 01期

关键词：

Piecewise linear systems; periodic orbits; invariant manifolds; half-Poincare maps; invariant cones; LIMIT-CYCLE BIFURCATION; DIFFERENTIAL-SYSTEMS;

D O I：

10.3934/dcds.2015.35.59

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the existence of invariant cones in a family of three-dimensional non-observable piecewise linear systems with two zones of linearity. We find a subfamily of systems with one invariant cone foliated by periodic orbits. After that, we perturb the system by making it observable and non-homogeneous. Then, the periodic orbits that remain after the perturbation are analyzed.

引用

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页码：59 / 72

页数：14

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