Sliding Vector Fields via Slow-Fast Systems
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Data
2008-01-01
Autores
Llibre, Jaume
da Silva, Paulo R. [UNESP]
Teixeira, Marco A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Belgian Mathematical Soc Triomphe
Resumo
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.
Descrição
Palavras-chave
Regularization, vector fields, singular perturbation, discontinuous vector fields, sliding vector fields
Como citar
Bulletin of The Belgian Mathematical Society-simon Stevin. Brussels: Belgian Mathematical Soc Triomphe, v. 15, n. 5, p. 851-869, 2008.