Stabilization of reacting systems

A feedback stabilization scheme to stabilize a classical reacting Hamiltonian system is proposed. It is based on transforming a saddle-type equilibrium to an asymptotically stable one, and is given in a simple and algorithmic way. The question of destabilization of a stable system to make a reacting system is also addressed. The theory is illustrated with the examples of a model Hamiltonian of the form kinetic plus potential, and the hydrogen atom in crossed and magnetic fields.