Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields-Reference-Cited by-同舟云学术

Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields

Published:2014-07 Issue:07 Volume:24 Page:1450090
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

de Carvalho Tiago¹,Tonon Durval José²

Affiliation:

1. Faculdade de Ciências, Departamento de Matemática, Universidade Estadual Paulista, Rua Eng. Luiz Edmundo Carrijo Coube, 14-01 Bauru, São Paulo, Brasil

2. Instituto de Matemática e Estatística, Universidade Federal de Goiás, Campus Samambaia, Goiânia, Goiás, Brasil

Abstract

In this paper, we are dealing with piecewise smooth vector fields in a 2D-manifold. In such a scenario, the main goal of this paper is to exhibit the homeomorphism that gives the topological equivalence between a codimension one piecewise smooth vector field and the respective C0-normal form.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127414500904

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