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// Regular and Chaotic Dynamics
// Archive
Regul. Chaotic Dyn.,
1998
Volume 3,
Issue 3,
Pages
73–81
(Mi rcd949)
This article is cited in
5
papers
On the 70th birthday of J.Moser
Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance
D. Treschev
,
O. Zubelevich
Faculty of Mectianics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorob'ievy gory, Moscow, Russia, 119899
Abstract:
An estimate for the difference of the frequencies on two invariant curves, bounding a resonance zone of an area-preserving close to integrable map, is obtained. Analogous results for Hamiltonian systems are presented.
MSC:
58F08
,
58F36
Received:
28.08.1998
Language:
English
DOI:
10.1070/RD1998v003n03ABEH000081
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