Stabilization of reacting systems
arXiv:1211.2661
Abstract
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.
13 pages, 5 figures