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Chaotic behavior analysis based on sliding bifurcations
Authors:D Benmerzouk  JP Barbot
Institution:1. University of Tlemcen, Department of Mathematics, BP 119, 13000 Tlemcen, Algeria;2. Equipe Commande des Systèmes, ENSEA, Cergy-Pontoise Paris, France;3. EPI-ALIEN-INRIA, France
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 its 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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