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Ryskin N. M., Trubetskov D. I. Explosive instability in systems «two interacting electron beams - electromagnetic wave». Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 65-77.

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385.6

Explosive instability in systems «two interacting electron beams - electromagnetic wave»

Autors: 
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Trubetskov Dmitriy Ivanovich, Saratov State University
Abstract: 

Explosive instability in two electron beams - electromagnetic wave interaction is studied. Both cases of copropagating and contrapropagating beams are considered. The equations of three wave interaction are derived which describe the dynamics of slowly varying amplitudes. Numerical simulation of these equations with proper boundary conditions reveals the main features of the instability and shows the influence of different quantities on the starting conditions of oscillations.

Key words: 
-
Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (grant No. 96-02-16753) and the Program of the State Committee for Higher Education of the Russian Federation for fundamental research in the field of electronics and radio engineering.
Reference: 
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Received: 
10.04.1996
Accepted: 
05.07.1996
Published: 
10.12.1996
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