Chaotic behavior analysis based on sliding bifurcations

Djamila Benmerzouk (1) , Jean-Pierre Null Barbot (2, 3)

1 Department of Mathematics [Tlemcen]
2 ALIEN - Algebra for Digital Identification and Estimation
3 ECS-Lab - Électronique et Commande des Systèmes Laboratoire

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.

Domaines: Systèmes dynamiques [math.DS]

Djamila Benmerzouk, Jean-Pierre Null Barbot. Chaotic behavior analysis based on sliding bifurcations. Nonlinear Analysis: Hybrid Systems, 2010, 4 (3), pp.503-512. ⟨10.1016/j.nahs.2009.12.001⟩. ⟨inria-00533447⟩