Local control of area-preserving maps

Abstract

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.

Chaos, Complexity and Transport: Theory and Applications, Marseille : France (2007)

References in corpus (2)

• Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas
• Controlling chaos in area-preserving maps