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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 2, Pages 325–347
DOI: https://doi.org/10.1070/IM1988v031n02ABEH001077 (Mi im1329) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On oscillatory motions in a certain dynamical system

L. D. Pustyl'nikov
English version PDF (943 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/IM1988v031n02ABEH001077
Abstract: A rigorous mathematical justification is given for the possibility of unbounded growth of the energy of a relativistic charged particle in a constant magnetic field and a periodic electric field. It is proved that there is an open subset of initial data with infinite Lebesgue measure in the five-dimensional extended phase space for which the energy of the particle tends to infinity.
Bibliography: 11 titles.
Received: 12.11.1985
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 5, Pages 1010–1032
Bibliographic databases:
UDC: 517.93+539.076
MSC: Primary 34C35, 78A35, 81M05; Secondary 70G25, 70G35, 70J25
Language: English
Original paper language: Russian
Citation: L. D. Pustyl'nikov, “On oscillatory motions in a certain dynamical system”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987), 1010–1032; Math. USSR-Izv., 31:2 (1988), 325–347
Citation in format AMSBIB
\Bibitem{Pus87}
\by L.~D.~Pustyl'nikov
\paper On~oscillatory motions in a~certain dynamical system
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 5
\pages 1010--1032
\mathnet{http://mi.mathnet.ru/im1329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=925092}
\zmath{https://zbmath.org/?q=an:0677.34043|0661.34040}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 2
\pages 325--347
\crossref{https://doi.org/10.1070/IM1988v031n02ABEH001077}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:267
    Russian version PDF:102
    English version PDF:7
    References:72
    First page:1
     
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