The results of numerical simulations and analysis of non-stationary dynamics of helical electron beam in the vircator with magnetron injection gun with additional braking field are presented. We have revealed the fields of the control parameters where the squeezed state is realized in such system. Peculiarities of the dynamics of the beam in squeezed state are analyzed. By means of Karhunen–Louve decomposition the processes of appearance and propagation in the beam in squeezed state of the space-charge wave are analyzed.
05.45.-a Nonlinear dynamics and chaos
$^1$Department of Electronics, Oscillations and Waves, Faculty of Nonlinear Processes. Tchernyshevskiy N.G. Saratov State University. Saratov 410012, Russia.
$^2$Scientific and educational center «Nonlinear dynamics of complex systems». Yuri Gagarin State Technical University of Saratov. Saratov, 410054, Russia.
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