Peixoto's Theorem for vector fields on S2 with impasse points

External sources

http://dx.doi.org/10.1016/j.bulsci.2013.01.003

External sources

http://dx.doi.org/10.1016/j.bulsci.2013.01.003

Date

Authors

Buzzi, Claudio A.

da Silva, Paulo R.

Medrado, João C.R.

Publisher

Elsevier

Type

Article

Access right

Acesso restrito

External sources

http://dx.doi.org/10.1016/j.bulsci.2013.01.003

External sources

http://dx.doi.org/10.1016/j.bulsci.2013.01.003

Abstract

The structural stability of vector fields with impasse regular curves on S2 is studied and a version of Peixoto's Theorem is established. Moreover a global analysis of normal forms of the constrained systems. A(x).ẋ=F(x),x∈R3,A∈M(3),F:R3→R3 in the Poincaré ball (i.e. in the compactification of R3 with the sphere S2 of the infinity) is made. © 2013 Elsevier Masson SAS.

Keywords

Constrained systems , Discontinuous vector fields , Regularization , Singular perturbation , Sliding vector fields , Vector fields

Language

English

Citation

Bulletin des Sciences Mathematiques, v. 137, n. 6, p. 691-704, 2013.

URI

http://hdl.handle.net/11449/76393

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

Units

Unit

São José do Rio Preto, Instituto de Biociências, Letras e Ciências Exatas - IBILCE

IBILCE

Campus: São José do Rio Preto

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