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JOURNALS // 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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