Sliding Vector Fields via Slow-Fast Systems

Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/42097

Title:

Sliding Vector Fields via Slow-Fast Systems

Author(s):

Institution:

Univ Autonoma Barcelona
Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

1370-1444

Sponsorship:

MCYT/FEDER
CICYT
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)

Sponsorship Process Number:

MCYT/FEDER: MTM2005-06098-C02-01
CICYT: 2005SGR 00550

Abstract:

This paper concerns differential equation systems on R(n) with discontinuous right-hand sides. We deal with non-smooth vector fields in R(n) having a codimension-one submanifold M as its discontinuity set. After a regularization of a such system and a global blow-up we are able to bring out; some results that bridge the space between discontinuous systems and singularly perturbed smooth systems.

Issue Date:

1-Jan-2008

Citation:

Bulletin of The Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 15, n. 5, p. 851-869, 2008.

Time Duration:

851-869

Publisher:

Belgian Mathematical Soc Triomphe

Keywords:

Regularization
vector fields
singular perturbation
discontinuous vector fields
sliding vector fields

Source:

http://projecteuclid.org/euclid.bbms/1228486412

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/42097

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