Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/100236
Type: Artigo de periódico
Title: Regularization Of Discontinuous Vector Fields In Dimension Three
Author: Llibre J.
Teixeira M.A.
Abstract: In this paper vector fields around the origin in dimension three which are approximations of discontinuous ones are studied. In a former work of Sotomayor and Teixeira [6] it is shown, via regularization, that Filippov's conditions are the natural ones to extend the orbit solutions through the discontinuity set for vector fields in dimension two. In this paper we show that this is also the case for discontinuous vector fields in dimension three. Moreover, we analyse the qualitative dynamics of the local flow in a neighborhood of the codimension zero regular and singular points of the discontinuity surface.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0031499326&partnerID=40&md5=508245620f309acb7b59eb0872dab8d2
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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