Generic bifurcations of low codimension of planar Filippov Systems

被引：208

作者：

Guardia, M. ^{[1
]}

Seara, T. M. ^{[1
]}

Teixeira, M. A. ^{[2
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

[2] Univ Estadual Campinas, Dept Math, IMECC, BR-6065 Campinas, SP, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Singularity; Non-smooth vector field; Structural stability; Bifurcation; SLIDING BIFURCATIONS;

D O I：

10.1016/j.jde.2010.11.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local (and global) bifurcations in non-smooth dynamical systems. Our results deal with the classification and characterization of generic codimension-2 singularities of planar Filippov Systems as well as the presentation of the bifurcation diagrams and some dynamical consequences. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：1967 / 2023

页数：57

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