Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori

• Author(s): Carvalho, Tiago ; Gonçalves, Luiz Fernando [UNESP]
• Date: 2022
• Persistent ID: http://hdl.handle.net/11449/221762
• Origin: Oasisbr
• Subject(s): Bifurcation; Limit cycles; Piecewise smooth vector field
• Document Type: Journal article
• Language: English

Description

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.

Departamento de Computação e Matemática; Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes 3900

Instituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265

Instituto de Biociências Letras e Ciências Exatas Universidade Estadual Paulista, Rua Cristóvão Colombo 2265

FAPESP: 2019/10269-3

FAPESP: 2019/10450-0

CNPq: 304809/2017-9