Sliding Vector Fields via Slow--Fast Systems
Llibre, Jaume ; da Silva, Paulo R. ; Teixeira, Marco A.
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 851-869 / Harvested from Project Euclid
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This paper concerns differential equation systems on $\mathbb R^n$ with discontinuous right--hand sides. We deal with non-smooth vector fields in $\mathbb R^n$ 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.
Publié le : 2008-11-15
Classification:  Regularization,  vector fields,  singular perturbation,  discontinuous vector fields,  sliding vector fields,  34C20,  34C26,  34D15,  34H05 
@article{1228486412,
     author = {Llibre, Jaume and da Silva, Paulo R. and Teixeira, Marco A.},
     title = {Sliding Vector Fields via Slow--Fast Systems},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 851-869},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1228486412}
}

Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A. Sliding Vector Fields via Slow--Fast Systems. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  851-869. http://gdmltest.u-ga.fr/item/1228486412/