Chaotification of piecewise smooth systems

Djamila Benmerzouk 1 Jean-Pierre Barbot 2, 3
1 Departement de Mathématique
Département de Mathematiques [Tlemcen]
3 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, a mathematical analysis of a possible way to chaos for piecewise smooth systems submitted to one of it's specific bifurcations, namely the sliding , the corner and the grazing ones, is proposed. This study is based on period doubling method and Implcit function theorem.
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Djamila Benmerzouk, Jean-Pierre Barbot. Chaotification of piecewise smooth systems. Chaos 09, IFAC, Jun 2009, Londre, United Kingdom. ⟨hal-00772236⟩

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