Orbits of hybrid systems as qualitative indicators of quantum dynamics
  Hamiltonian theory of hybrid quantum-classical systems is used to study dynamics of the classical subsystem coupled to different types of quantum systems. It is shown that the qualitative properties of orbits of the classical subsystem clearly indicate if the quantum subsystem does or does not have additional conserved observables. 
N. Buric, D.B. Popovic, M. Radonjic and S. Prvanovic
quant-ph