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On singularly perturbed Filippov systems

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Author(s):
Cardin, Pedro T. ; Da Silva, Paulo R. ; Teixeira, Marco A.
Total Authors: 3
Document type: Journal article
Source: EUROPEAN JOURNAL OF APPLIED MATHEMATICS; v. 24, p. 22-pg., 2013-12-01.
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. (AU)

FAPESP's process: 10/18624-2 - On Singularly Perturbed Filippov Systems
Grantee:Pedro Toniol Cardin
Support Opportunities: Scholarships in Brazil - Post-Doctoral