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

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Kuznetsov A. P., Shirokov A. P. Discrete model of a backward-wave tube. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 6, pp. 76-84. DOI: 10.18500/0869-6632-1997-5-6-76-84

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Language: 
Russian
Heading: 
Innovations in applied physics
Article type: 
Article
UDC: 
517.9+621.385
DOI: 
10.18500/0869-6632-1997-5-6-76-84

Discrete model of a backward-wave tube

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Shirokov Andrei Petrovich, Saratov State University
Abstract: 

The discrete two-parameter map approximately describing dynamics of a field amplitude in the backward-wave tube is received. The bifurcation diagram on а plane«parameter of interaction — relativistic parameter» is obtained. The tricritical point is found and nonfeigenbaum cascade of period—doubling bifurcations is investigated.

Key words: 
-
Acknowledgments: 
The authors are grateful to D.M. Trubetskov, S.P. Kuznetsov, H.M. Ryskin for useful discussions. The work was carried out with financial support from the Russian Foundation for Basic Research (grant № 96-15-96921).
Reference: 
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Received: 
11.12.1997
Accepted: 
20.01.1998
Published: 
18.03.1998
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