Local control of Hamiltonian chaos

Cristel Chandre (1) , Guido Ciraolo (2, 3) , Ricardo Lima (2, 3) , Michel Vittot (1)

1 nldyncpt
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation which is small and localized in phase space.

Domaines: Dynamique Chaotique [nlin.CD]

Cristel Chandre, Guido Ciraolo, Ricardo Lima, Michel Vittot. Local control of Hamiltonian chaos. Journal of Physics: Conference Series, 2005, 7, pp.48. ⟨10.1088/1742-6596/7/1/004⟩. ⟨hal-00003629⟩