Synchronisation et contrôle dans les systèmes dynamiques.

Abstract

This paper is concerned with the topic of chaos control in fractional maps. It presents two linear control laws to stabilize the dynamics of a new three-dimensional fractional Henon map. The chaos control has been achieved by proving a new theorem,based on a suitable Lyapunov function and a linear method. Finally, numerical simulations have been carried out to highlight the e_ectiveness of the proposed control method.