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// Regular and Chaotic Dynamics
// Archive
Regul. Chaotic Dyn.,
2014
Volume 19,
Issue 4,
Pages
474–482
(Mi rcd174)
This article is cited in
8
papers
On Bifurcations in Degenerate Resonance Zones
Albert D. Morozov
Department of Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia
Abstract:
Bifurcations in degenerate resonance zones for Hamitonian systems with 3/2 degrees of freedom close to nonlinear integrable ones and for symplectic maps of a cylinder are discussed.
Keywords:
resonances, degenerate resonances, bifurcations, Hamiltonian systems, averaged systems, separatrix, vortex pairs, symplectic maps.
MSC:
34C15
,
34C28
,
37G35
Received:
28.01.2014
Accepted:
01.04.2014
Language:
English
DOI:
10.1134/S1560354714040030
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