Geodesic
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. 
@article{IM2_1988_31_2_a4,
     author = {L. D. Pustyl'nikov},
     title = {On~oscillatory motions in a~certain dynamical system},
     journal = {Izvestiya. Mathematics },
     pages = {325--347},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_31_2_a4/}
}
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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/