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