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

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Dmitrieva T. V., Ryskin N. M., Titov V. N., Shigaev A. M. Complex dynamics of simple models of extended electron-wave systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 66-82. DOI: 10.18500/0869-6632-1999-7-6-66-82

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385.6:[530.132+530.182]
DOI: 
10.18500/0869-6632-1999-7-6-66-82

Complex dynamics of simple models of extended electron-wave systems

Autors: 
Dmitrieva Tatiana Vladimirovna, MOU "Lyceum of Applied Sciences"
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Titov Vladimir Nikolayevich, Saratov State University
Shigaev Andrey Mikhailovich, Saratov State University
Abstract: 

Complex dynamics of some spatially—extended self—oscillating systems, that can be treated as the simple models of vacuum microwave electron devices, is studied. The model of parametric interaction of counter—propagating waves, models of interaction of counter—propagating waves with positive and negative energies, and the model of klystron—type oscillator with delayed feedback are considered. The application of results obtained for explanation of peculiarities of complex dynamics of some microwave clectron devices is discussed.

Key words: 
-
Acknowledgments: 
The authors are grateful to S.P. Kuznetsov for discussion of some results of the work and useful comments. This work was supported by the Russian Foundation for Basic Research (grant № 98-02-16541) and the program "Russian Universities - Basic Research" (grant № 282).
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Received: 
01.09.1999
Accepted: 
12.11.1999
Published: 
01.02.2000
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