Chaotic behavior analysis based on corner bifurcations

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

1 Departement de Mathématique
2 ECS-Lab - Électronique et Commande des Systèmes Laboratoire
3 NON-A - Non-Asymptotic estimation for online systems

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.

Mots clés: Bifurcation of limits cycles and periodic orbits; Existence of solutions; Chaotic behavior; Bifurcations connected with nontransversal intersection

Domaines: Systèmes dynamiques [math.DS]

Djamila Benmerzouk, Jean-Pierre Barbot. Chaotic behavior analysis based on corner bifurcations. Nonlinear Analysis: Hybrid Systems, 2009, 3 (4), pp.543-550. ⟨10.1016/j.nahs.2009.04.005⟩. ⟨hal-00772300⟩