Chaotic behavior analysis based on sliding bifurcations

Djamila Benmerzouk 1 Jean-Pierre Barbot 2, 3
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : In this paper, a mathematical analysis of a possible way to chaos for bounded piecewise smooth systems of dimension 3 submitted to one of it's specific bifurcations, namely the sliding ones, is proposed. This study is based on period doubling method applied to the relied Poincaré maps.
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Djamila Benmerzouk, Jean-Pierre Barbot. Chaotic behavior analysis based on sliding bifurcations. Nonlinear Analysis: Hybrid Systems, Elsevier, 2010, 4 (3), pp.503-512. ⟨10.1016/j.nahs.2009.12.001⟩. ⟨inria-00533447⟩

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