Otro
Regularization and singular perturbation techniques for non-smooth systems
Registro en:
Physica D-nonlinear Phenomena. Amsterdam: Elsevier B.V., v. 241, n. 22, p. 1948-1955, 2012.
0167-2789
10.1016/j.physd.2011.06.022
WOS:000312511500012
Autor
Teixeira, Marco Antonio
da Silva, Paulo Ricardo
Resumen
This paper is concerned with some aspects of the qualitative-geometric theory of non-smooth systems. We present a survey of the state of the art on the connection between the regularization process of nonsmooth vector fields and the singular perturbation problems. As a matter of fact, the main results in our setting fill a gap between these areas. Exploiting such results, applications to constrained differential equations are discussed. (C) 2011 Elsevier B.V. All rights reserved. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)