Asymptotic stability and bifurcations of 3D piecewise smooth vector fields

被引：5
|
作者：
Carvalho, Tiago [1 ]
Teixeira, Marco Antonio [2 ,3 ]
Tonon, Durval Jose [4 ]
机构：
[1] UNESP, FC, BR-17033360 Bauru, SP, Brazil
[2] Univ Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
[3] UFSCar Campus Sorocaba, BR-18052780 Sorocaba, SP, Brazil
[4] Univ Fed Goias, IME, BR-74001970 Goiania, Go, Brazil
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Piecewise smooth vector fields; Cusp-fold singularity; Asymptotic stability; SINGULARITY;
D O I：
10.1007/s00033-015-0603-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families Z(lambda) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value lambda = 0.
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页数：14
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