Control of chaotic advection

Tounsia Benzekri (1, 2) , Cristel Chandre (1, 2) , Xavier Leoncini (1, 2) , Ricardo Lima (1, 2) , Michel Vittot (1, 2) , Arnaud Goullet (3) , Nadine Aubry (3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 Department of Mechanical Engineering

A method of chaos reduction for Hamiltonian systems is applied to control chaotic advection. By adding a small and simple term to the stream function of the system, the construction of invariant tori has a stabilization effect in the sense that these tori act as barriers to diffusion in phase space and the controlled Hamiltonian system exhibits a more regular behaviour.

Mots clés: dynamique Hamiltonienne; contrôle du chaos

Domaines: Dynamique Chaotique [nlin.CD]

Tounsia Benzekri, Cristel Chandre, Xavier Leoncini, Ricardo Lima, Michel Vittot, et al.. Control of chaotic advection. IFAC conference on Analysis and control systems , 2006, pp.219-224. ⟨hal-00102905⟩