Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields

被引：9
|
作者：
de Carvalho, Tiago [1 ]
Teixeira, Marco Antonio [2 ]
机构：
[1] FC UNESP, BR-17033360 Sao Paulo, Brazil
[2] IMECC UNICAMP, BR-13081970 Sao Paulo, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 418卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Piecewise smooth vector field; Bifurcation; Cusp-fold singularity; Structural stability; Basin of attraction; BIFURCATIONS;
D O I：
10.1016/j.jmaa.2014.03.093
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generic one-parameter families of piecewise smooth vector fields on R-3 presenting the so-called cusp-fold singularity are studied. The bifurcation diagrams are exhibited and the asymptotic and structural stabilities are discussed. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：11 / 30
页数：20
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