Article ID Journal Published Year Pages File Type
6417963 Journal of Mathematical Analysis and Applications 2015 17 Pages PDF
Abstract

In this paper we deal with piecewise smooth singularly perturbed systems. We study the effect of singular perturbation when the phase portrait of the reduced problem has periodic orbits with sliding or sewing points. Counter-examples are used to show that in general, only one parameter is not sufficient to ensure the persistence of periodic orbits. With an additional parameter, derived from the Sotomayor-Teixeira regularization, we get conditions which guarantee the persistence.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,