ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Privezencev A. P., Fomenko G. P. Complex dynamics of the charged-particle beam with virtual cathode. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 5, pp. 56-68. DOI: 10.18500/0869-6632-1994-2-5-56-68

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
621.385.6.01
DOI: 
10.18500/0869-6632-1994-2-5-56-68

Complex dynamics of the charged-particle beam with virtual cathode

Autors: 
Privezencev Aleksej Pavlovich, National Research Tomsk State University
Fomenko Gennadij Petrovich, National Research Tomsk State University
Abstract: 

This paper presents numerical analysis of nonlinear virtual cathode dynamics in triode systems. It was found that different stationary unstable flow states transform into different oscillation regimes - nonlinear structures for a certain injection current range near the critical value. Further it was found that injected current perturbations cause interactions of the nonlinear structures and high-frequency mode is absorbed by lowfrequency one. When the flow interacts with multimode cavity at the certain beam coupling level and at the range of eigenmode frequencies a frequency locking regime is formed where one-mode close to sinusoidal oscillation regime appears in flow-cavity system. Study of correlation characteristics for local flow parameters showed that the dynamics is complex when large-scale coherence for time comparable to the transit time coexists with chaotic behaviour of local flow parameters for short times.

Key words: 
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Received: 
19.04.1993
Accepted: 
20.07.1994
Published: 
03.03.1995
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