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 inEurophysics letters Vol. 83; no. 2; pp. 24003 - 24003 (6)
Main Authors Delos, J. B, Dhont, G, Sadovskií, D. A, Zhilinskií, B. I
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2008
EDP Sciences
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.
Bibliography:istex:401EA714506E91C7D08CBCDFC7955A0788B5CE6D
publisher-ID:epl11081
ark:/67375/80W-6N0X5695-B
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/83/24003