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.
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Resumo
This paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ 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.
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Palavras-chave
Discontinuous vector fields, Regularization, Singular perturbation, Sliding vector fields, Vector fields
Como citar
Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.