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Results are presented from numerical modeling of the effect of theinhomogeneity of the ion background on the complicated spatiotemporal dynamicsof an electron beam with a virtual cathode in plane geometry. The possibilityis demonstrated of increasing the generation frequency without changing thebeam current. The spatiotemporal structures that form in the beam and governthe complicated stochastic dynamics of the nonuniform electron-plasma systemunder consideration are investigated by the methods of wavelet bicoherence andby analyzing the calculated electron trajectories on the space-time diagramsComment: 16 pages, 12 figure

Wavelet bicoherence analysis as a method for investigating coherent structures in an electron beam with an overcritical current