Combing the Hairy Ball Using a Vector Field Without Equilibria

被引：6

作者：

Carvalho, Tiago ^{[1
]}

Goncalves, Luiz Fernando ^{[2
]}

机构：

[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Ave Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP, Brazil

[2] Univ Estadual Paulista Julio de Mesquita Filho UN, Inst Biociencias Letras & Ciencias Exatas IBILCE, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2020年 / 26卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Piecewise smooth vector field; Minimal set; Chaos; SYSTEMS;

D O I：

10.1007/s10883-019-09446-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The main goal of this paper is to present a piecewise smooth vector field tangent to S-2 without equilibrium points. Moreover, we will show that this vector field contains a chaotic non-trivial minimal set.

引用

页码：233 / 242

页数：10

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