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This article is cited in 3 scientific papers (total in 3 papers)
On oscillatory motions in a certain dynamical system
L. D. Pustyl'nikov
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
Citation:
L. D. Pustyl'nikov, “On oscillatory motions in a certain dynamical system”, Math. USSR-Izv., 31:2 (1988), 325–347
Linking options:
https://www.mathnet.ru/eng/im1329https://doi.org/10.1070/IM1988v031n02ABEH001077 https://www.mathnet.ru/eng/im/v51/i5/p1010
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