Issue
EPL
Volume 83, Number 2, July 2008
Article Number 24003
Number of page(s) 6
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/83/24003
Published online 05 July 2008
EPL, 83 (2008) 24003
DOI: 10.1209/0295-5075/83/24003

Dynamical manifestation of Hamiltonian monodromy

J. 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

jbdelo@wm.edu

received 20 October 2007; accepted in final form 5 June 2008; published July 2008
published online 5 July 2008

Abstract
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.

PACS
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.

© EPLA 2008