A singular approach to discontinuous vector fields on the plane

Artículos de revistas

Fecha

2006-12-15

Registro en:

Journal of Differential Equations. San Diego: Academic Press Inc. Elsevier B.V., v. 231, n. 2, p. 633-655, 2006.

0022-0396

http://hdl.handle.net/11449/34118

10.1016/j.jde.2006.08.017

WOS:000244851200009

WOS000244851200009.pdf

6682867760717445

0000-0003-2037-8417

Autor

Universidade Estadual de Campinas (UNICAMP)

Universidade Estadual Paulista (Unesp)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

In this paper we deal with discontinuous vector fields on R-2 and we prove that the analysis of their local behavior around a typical singularity can be treated via singular perturbation. The regularization process developed by Sotomayor and Teixeira is crucial for the development of this work. (c) 2006 Elsevier B.V. All rights reserved.

Materias

limit cycles

vector fields

singular perturbation

discontinuous vector fields

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