Volume 83, Number 2, July 2008
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||05 July 2008|
Dynamical manifestation of Hamiltonian monodromy
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: firstname.lastname@example.org
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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