Local control of area-preserving maps

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

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - Ex E8 Dynamique non linéaire
3 M2P2 - Modélisation et Simulation Numérique (en mécanique des fluides)

We present a method of control of chaos in area-preserving maps. This method gives an explicit expression of a control term which is added to a given area-preserving map. The resulting controlled map which is a small and suitable modification of the original map, is again area-preserving and has an invariant curve whose equation is explicitly known.

Domaines: Dynamique Chaotique [nlin.CD]

Cristel Chandre, Michel Vittot, Guido Ciraolo. Local control of area-preserving maps. Chaos, Complexity and Transport: Theory and Applications, Jun 2007, Marseille, France. pp.136. ⟨hal-00315893⟩