Local control of area-preserving maps
C. Chandré, Michel Vittot, Guido Ciraolo · HAL AMU · 2008
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.