A singular approach to discontinuous vector fields on the plane

[摘要] In this paper we deal with discontinuous vector fields on R-2 and we prove that the analysis of their local behavior around a typical singularity can be treated via singular perturbation. The regularization process developed by Sotomayor and Teixeira is crucial for the development of this work. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] limit cycles;vector fields;singular perturbation;discontinuous vector fields