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A singular approach to discontinuous vector fields on the plane
Authors:Claudio A Buzzi
Institution:a IBILCE-UNESP, CEP 15054-000, S. J. Rio Preto, São Paulo, Brazil
b IMECC-UNICAMP, CEP 13081-970, Campinas, São Paulo, Brazil
Abstract:In this paper we deal with discontinuous vector fields on R2 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.
Keywords:34C20  34C26  34D15  34H05
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