Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 3, Pages 425–434 (Mi nd102)  
This article is cited in 1 scientific paper (total in 1 paper)

Non-chaotic interaction of resonances in a system with two degrees of freedom

A. I. Malyshev

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (397 kB) Citations (1)
Abstract: The dynamics of particles moving in a uniform gravitational field and colliding with the horizontal sinusoidal surface is studied. The structure of phase space of the system is analyzed. The process of birth and interaction of a pair of coupling resonance is studied. It is shown that the overlap scenario in a resonance pair under consideration does not agree in principle with the Chirikov criterion.
Keywords: phase spacee, nonlinear resonancee, resonance overlapp, stochasticityp.
Received: 10.04.2009
Document Type: Article
UDC: 530.182
MSC: 70K05, 70K30, 70K55
Language: Russian
Citation: A. I. Malyshev, “Non-chaotic interaction of resonances in a system with two degrees of freedom”, Nelin. Dinam., 5:3 (2009), 425–434
Citation in format AMSBIB
\Bibitem{Mal09}
\by A.~I.~Malyshev
\paper Non-chaotic interaction of resonances in a system with two degrees of freedom
\jour Nelin. Dinam.
\yr 2009
\vol 5
\issue 3
\pages 425--434
\mathnet{http://mi.mathnet.ru/nd102}
Linking options:
  • https://www.mathnet.ru/eng/nd102
  • https://www.mathnet.ru/eng/nd/v5/i3/p425
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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