Regularization of discontinuous vector fields on R-3 via singular perturbation
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Data
2007-06-01
Autores
Llibre, Jaume
da Silva, Paulo R.
Teixeira, Marco A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
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.
Descrição
Palavras-chave
regularization, vector fields, singular perturbation, discontinuous vector fields
Como citar
Journal of Dynamics and Differential Equations. New York: Springer, v. 19, n. 2, p. 309-331, 2007.