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Chetverikov A. P. Nonlinear dynamics of a system of interacting backward electromagnetic wave and electron wave with cubic phase nonlinearity. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 5, pp. 46-55.

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Language: 
Russian
Article type: 
Article
UDC: 
621.385

Nonlinear dynamics of a system of interacting backward electromagnetic wave and electron wave with cubic phase nonlinearity

Autors: 
Chetverikov Aleksandr Petrovich, Saratov State University
Abstract: 

Dynamics of one parametric extended auto-oscillation system of interacting on electromagnetic wave and a simple electron wave with cubic phase nonlinearity is studied by computer modelling and statistical treatment of results. It has been shown that complication of oscillations up to chaotic takes place in the system under coupling wave parameter increasing.

Key words: 
Acknowledgments: 
Часть работы выполнена при поддержке Российского фонда фундаментальных исследований (проект 94-02-06098).
Reference: 
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  2. Trubetskov DI, Chetverikov АP. Autooscillation in distributed systems “electronic flow - counter (backward) electromagnetic wave”. 1994;2(5):9-34.
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  4. Gaponov-Grekhov AV, editor. High-Frequency Relativistic Electronics. Gorky: Institute of Applied Physics AS USSR Publishing; 1979. 303 p.
  5. Kuznetsov SP, Chetverikov АP.  Transient nonlinear theory of an ultrarelativistic backward-wave tube with an anomalous Doppler effect. Radiophys. Quantum Electron. 1981;24(1):78-84. DOI: 10.1007/BF01034358.
  6. Chetverikov АP. Periodic and chaotic autooscillations in simple distributed electron wave systems. Bulletin of the Russian Academy of Sciences: Physics. 1994;58(8):171.
  7. Kuznetsov SP, Pishchik LA, Trubetskov DI, Chetverikov АP. Program for numerical modelling of non-stationary processes and auto-oscillation modes in BWT. Electronic equipment. Ser. Microwave electronics. 1983;4(352):66-67.
  8. Anishchenko VS, Saparin PI, Safonova МА. The instrument computer-system for complicated autooscillations regimes analysis. J. Comm. Tech. Electron. 1992;37(3):467-478.
Received: 
31.10.1994
Accepted: 
28.02.1995
Published: 
03.03.1995