Dynamical manifestation of Hamiltonian monodromy

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 bo...

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Bibliographic Details
Published in:Europhysics letters 2008-07, Vol.83 (2), p.24003-24003 (6)
Main Authors: Delos, J. B, Dhont, G, Sadovskií, D. A, Zhilinskií, B. I
Format: Article
Language:English
Subjects:
03.65.Vf
45.05.+x
45.50.-j
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/83/24003