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.
|Journal||Bulletin of the Belgian Mathematical Society - Simon Stevin|
|Publication status||Published - 1 Dec 2008|
- Discontinuous vector fields
- Singular perturbation
- Sliding vector fields
- Vector fields