Geodesic
Asymptotic analysis of the model of gyromagnetic autoresonance
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 285-301

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The system of ordinary differential equations that in a specific case describes the cyclotron motion of a charged particle in an electromagnetic wave is considered. The capture of the particle into autoresonance when its energy undergoes a significant change is studied. The main result is a description of the capture domain, which is the set of initial points in the phase plane where the resonance trajectories start. This description is obtained in the asymptotic approximation with respect to the small parameter that in this problem corresponds to the amplitude of the electromagnetic wave. 
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     author = {L. A. Kalyakin},
     title = {Asymptotic analysis of the model of gyromagnetic autoresonance},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {285--301},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_2_a5/}
}
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L. A. Kalyakin. Asymptotic analysis of the model of gyromagnetic autoresonance. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 2, pp. 285-301. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_2_a5/