On~oscillatory motions in a~certain dynamical system
Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 325-347.

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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.
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L. D. Pustyl'nikov. On~oscillatory motions in a~certain dynamical system. Izvestiya. Mathematics , Tome 31 (1988) no. 2, pp. 325-347. http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a4/

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