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Type: Artigo de periódico
Title: Regularization Of Discontinuous Vector Fields On ℝ3 Via Singular Perturbation
Author: Llibre J.
Da Silva P.R.
Teixeira M.A.
Abstract: Singular perturbations problems in dimension three which are approximations of discontinuous vector fields are studied in this paper. The main result states that the regularization process developed by Sotomayor and Teixeira produces a singular problem for which the discontinuous set is a center manifold. Moreover, the definition of sliding vector field coincides with the reduced problem of the corresponding singular problem for a class of vector fields. © Springer Science+Business Media, LLC 2007.
Rights: fechado
Identifier DOI: 10.1007/s10884-006-9057-7
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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