Chaotic behavior analysis based on corner bifurcations

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 in order to generate a chaotic behavior for piecewise smooth systems submitted to one of it's specific bifurcations, namely the corner one, is proposed. This study is based on period doubling method.
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Djamila Benmerzouk, Jean-Pierre Barbot. Chaotic behavior analysis based on corner bifurcations. Nonlinear Analysis: Hybrid Systems, Elsevier, 2009, 3, pp.543-550. ⟨hal-00772300⟩

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