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filippov systems

European Journal of Applied Mathematics (1)

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On singularly perturbed Filippov systems
PEDRO T. CARDIN, PAULO R. DA SILVA, MARCO A. TEIXEIRA
Journal:

European Journal of Applied Mathematics / Volume 24 / Issue 6 / December 2013

Published online by Cambridge University Press:

08 July 2013, pp. 835-856
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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.