Combing the Hairy Ball Using a Vector Field Without Equilibria

• Author(s): Carvalho, Tiago ; Gonçalves, Luiz Fernando [UNESP]
• Date: 2019
• Persistent ID: http://hdl.handle.net/11449/187692
• Origin: Oasisbr
• Subject(s): Chaos; Minimal set; Piecewise smooth vector field
• Document Type: Journal article
• Language: English

Description

Made available in DSpace on 2019-10-06T15:44:20Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-01-01

The main goal of this paper is to present a piecewise smooth vector field tangent to S2 without equilibrium points. Moreover, we will show that this vector field contains a chaotic non-trivial minimal set.

Faculdade de Filosofia Ciências e Letras de Ribeirão Preto Universidade de São Paulo, Av. Bandeirantes, 3900

Instituto de Biociências Letras e Ciências Exatas (IBILCE) Universidade Estadual Paulista Júlio de Mesquita Filho (UNESP), Rua Cristóvão Colombo, 2265

Instituto de Biociências Letras e Ciências Exatas (IBILCE) Universidade Estadual Paulista Júlio de Mesquita Filho (UNESP), Rua Cristóvão Colombo, 2265