On singularly perturbed Filippov systems-Reference-Cited by-同舟云学术

On singularly perturbed Filippov systems

Published:2013-07-08 Issue:6 Volume:24 Page:835-856
ISSN:0956-7925
Container-title:European Journal of Applied Mathematics
language:en
Short-container-title:Eur. J. Appl. Math

Author:

CARDIN PEDRO T.,DA SILVA PAULO R.,TEIXEIRA MARCO A.

Abstract

In this paper, we study singularly perturbed Filippov systems. More specifically, our main question is to know how the dynamics of Filippov systems is affected by singular perturbations. We extend the Fenichel theory developed in Fenichel (J. Differ. Equ., 1979, Vol. 31, pp. 53–98) to these systems. In addition, the study of non-smooth constrained systems is considered.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

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