Dynamical manifestation of Hamiltonian monodromyJ. B. Delos1, 2, G. Dhont2, D. A. Sadovskií2 and B. I. Zhilinskií2
1 Physics Department, College of William and Mary - Williamsburg, VA 23185, USA
2 Département de Physique, UMR 8101 du CNRS, Université du Littoral - 59140 Dunkerque, France, EU
received 20 October 2007; accepted in final form 5 June 2008; published July 2008
published online 5 July 2008
Hamiltonian monodromy -a topological property of the bundle of regular tori of a static Hamiltonian system which obstructs the existence of global action-angle variables- occurs in a number of integrable dynamical systems. Using as an example a simple integrable system of a particle in a circular box with quadratic potential barrier, we describe a time-dependent process which shows that monodromy in the static system leads to interesting dynamical effects.
45.50.-j - Dynamics and kinematics of a particle and a system of particles.
45.05.+x - General theory of classical mechanics of discrete systems.
03.65.Vf - Phases: geometric; dynamic, topological.
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