About motion of charged particle in a wave field

Applied Mathematics, Mechanics and Physics


Churkina T. E.


e-mail: tatiana802@mail.ru


A stability problem is considered for a case of charged particle motion in a wave packet field. The packet consists of two sinusoidal waves moved with various speeds. At the same time the waves have slightly different amplitudes. Liapunov stability conditions as well as spinning and oscillation instability ones are obtained. These conditions depend on expression kind for the mean angular rotation speed and frequency, respectively.

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