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Regular and Chaotic Dynamics, 2004, Volume 9, Issue 3, Pages 337–350
DOI: https://doi.org/10.1070/RD2004v009n03ABEH000283
(Mi rcd749)
 

This article is cited in 7 scientific papers (total in 7 papers)

Effective computations in modern dynamics

On degenerate resonances in nearly Hamiltonian systems

A. D. Morozov

Department of Mechanics and Mathematics, Nizhni Novgorod State University, 603950 Nizhni Novgorod, Russia
Citations (7)
Abstract: The problem of topology of a neighborhood of degenerate resonance zone in time-periodic two-dimensional nearly Hamiltonian systems of differential equations is considered. The investigation is based on averaged systems analysis. The role of polyharmonical Hamiltonian and non-Hamiltonian perturbations is discussed. In the Hamiltonian case, conditions of existence of degenerate resonances in non-degenerate and degenerate resonance zones are established. In the case of non-Hamiltonian perturbations, a problem of synchronization on degenerate resonances is considered.
Received: 27.08.2004
Bibliographic databases:
Document Type: Article
MSC: 70K30, 34C15
Language: English
Citation: A. D. Morozov, “On degenerate resonances in nearly Hamiltonian systems”, Regul. Chaotic Dyn., 9:3 (2004), 337–350
Citation in format AMSBIB
\Bibitem{Mor04}
\by A. D. Morozov
\paper On degenerate resonances in nearly Hamiltonian systems
\jour Regul. Chaotic Dyn.
\yr 2004
\vol 9
\issue 3
\pages 337--350
\mathnet{http://mi.mathnet.ru/rcd749}
\crossref{https://doi.org/10.1070/RD2004v009n03ABEH000283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2104175}
\zmath{https://zbmath.org/?q=an:1102.70010}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RCD.....9..337M}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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