Tailoring Phase Space : A Way to Control Hamiltonian Transport

Abstract

We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated barriers of transport without modifying other parts of phase space. We apply this method of localized control to a forced pendulum model and to a system describing the motion of charged particles in a model of turbulent electric field.

References in corpus (1)

• Localised control for non-resonant Hamiltonian systems

Cited by in corpus (2)

• Control of stochasticity in magnetic field lines
• Controlling chaos in area-preserving maps