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On nonlinear oscillations in an inhomogeneous electron flux

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This work considers nonlinear oscillations in an inhomogeneous electron flux moving in a high-frequency field between two parallel planes placed perpendicular to the beam motion. It is shown with the help of the Hamiltonian formalism in the threewave approximation that under specific conditions there occurs a periodic exchange of energy between the high-frequency field and the electron flux and also between the long-wave and short-wave harmonics of the flux.

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The authors express thanks to N. M. Filipenko who participated in the discussion of the obtained results.

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 88–93, June, 1981.

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Koval', T.V., Privezentsev, A.P. & Fomenko, G.P. On nonlinear oscillations in an inhomogeneous electron flux. Soviet Physics Journal 24, 563–568 (1981). https://doi.org/10.1007/BF00892959

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  • Nonlinear Oscillation
  • Parallel Plane
  • Electron Flux
  • Hamiltonian Formalism
  • Periodic Exchange