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
收藏
页码：59 / 72
页数：14
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