Sliding vector fields via slow-fast systems

Artículos de revistas

Fecha

2008-01-01

Registro en:

Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 15, n. 5, p. 851-869, 2008.

1370-1444

http://hdl.handle.net/11449/225394

10.36045/bbms/1228486412

2-s2.0-58249118941

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5405524

Autor

Universitat Autònoma de Barcelona

Universidade Estadual Paulista (UNESP)

Universidade Estadual de Campinas (UNICAMP)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Discontinuous vector fields

Regularization

Singular perturbation

Sliding vector fields

Vector fields

Mostrar el registro completo del ítem