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

For citation:

Kuznetsov A. P., Shirokov A. P. Complex dynamics of two-mode low-dimension model of free electron laser. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 1, pp. 3-11. DOI: 10.18500/0869-6632-1999-7-1-3-11

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385.633
DOI: 
10.18500/0869-6632-1999-7-1-3-11

Complex dynamics of two-mode low-dimension model of free electron laser

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 results of numeric investigation of а low-dimension two-mode model, describing approximately scenario of transition to the multi-frequency regime in the free electron laser with а low-Q microwave system are presented. The qualitatively different mechanisms of stability loss of а one-frequency generation are revealed. The topographies of dynamical regimes and Lyapunov’s exponents on a parameter plane: transmission coefficient — dimensionless space interaction length are presented.

Key words: 
-
Acknowledgments: 
The authors are grateful to S.P. Kuznetsov and D.I. Trubetskov for useful discussion and attention to the work. The work was supported by the RFBR №96-15-96536 и 96-15-96921.
Reference: 
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  7. Bliokh YuP, Borodkin AV, Lubarskii MG, Onishchenko IN, Fainberg YaB. Application of the functional mapping method to study the TWT generator with delaying feedback. Izvestiya VUZ. Applied Nonlinear Dynamics. 1993;1(1-2):34-49. (in Russian).
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Received: 
21.12.1998
Accepted: 
16.03.1999
Published: 
28.05.1999
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