Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2016, Volume 12, Number 4, Pages 577–589
DOI: https://doi.org/10.20537/nd1604003 (Mi nd539) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Original papers

Transitory shift in pendular type equations

A. D. Morozov, K. E. Morozov

Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950, Russia
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DOI: https://doi.org/10.20537/nd1604003
Abstract: The two-dimensional nonautonomous equations of pendular type are considered: the Josephson equation and the equation of oscillations of a body. It is supposed that these equations are transitory, i.e., nonautonomous only on a finite time interval. The problem of dependence of the mode on the transitory shift is solved. For a conservative case the measure of transport from oscillations to rotations is established.
Keywords: transitory system, separatrix, limit cycles, attractors.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1410
Russian Science Foundation 14-41-00044
Russian Foundation for Basic Research 14-01-00344
16-01-00364
Received: 28.06.2016
Accepted: 14.10.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9:534.1
MSC: 34C15
Language: Russian
Citation: A. D. Morozov, K. E. Morozov, “Transitory shift in pendular type equations”, Nelin. Dinam., 12:4 (2016), 577–589
Citation in format AMSBIB
\Bibitem{MorMor16}
\by A.~D.~Morozov, K.~E.~Morozov
\paper Transitory shift in pendular type equations
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 4
\pages 577--589
\mathnet{http://mi.mathnet.ru/nd539}
\crossref{https://doi.org/10.20537/nd1604003}
\elib{https://elibrary.ru/item.asp?id=27715764}
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    • 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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