Chaotic behavior analysis based on corner bifurcations |
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| Authors: | D Benmerzouk JP Barbot |
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| Institution: | aUniversity of Tlemcen, Department of Mathematics, BP 119, 13000 Tlemcen, Algeria;bEquipe Commande des Systèmes, ENSEA, Cergy-Pontoise Paris, France;cEPI-ALIEN-INRIA, France |
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| Abstract: | In this paper, a mathematical analysis in order to generate a chaotic behavior for bounded piecewise smooth systems of dimension three submitted to one of its specific bifurcations, namely the corner one, is proposed. This study is based on period doubling method. |
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| Keywords: | Bifurcation of limits cycles and periodic orbits Existence of solutions Chaotic behavior Bifurcations connected with nontransversal intersection |
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