| 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 | https://doi.org/10.1209/0295-5075/83/24003 | |
| Published online | 05 July 2008 | |
Dynamical manifestation of Hamiltonian monodromy
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
Corresponding author: jbdelo@wm.edu
Received:
20
October
2007
Accepted:
5
June
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.
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
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