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Ryskin N. M., Titov V. N. On the transition to chaos scenario in one parameter model of a backward wave oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 1, pp. 75-92.

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Russian
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621.385.6

On the transition to chaos scenario in one parameter model of a backward wave oscillator

Autors: 
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Titov Vladimir Nikolayevich, Saratov State University
Abstract: 

The results of the numerical simulations of the transition to chaos in the simplest one parameter model of the O-type backward-wave oscillator are presented. The complex sequence of oscillating regimes with multiple «order - chaos» and «chaos - order» transitions through different scenarii is found. Obtained results are compared with those of previously published works. The possibility of approximate description of the dynamics by one-dimensional map is discussed.

Key words: 
-
Acknowledgments: 
The authors are grateful to D.I. Trubetskov for supervising the research, and to A.P. Kuznetsov and S.N. Kuznetsov for discussing the results of the work.
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Received: 
11.09.1997
Accepted: 
26.12.1997
Published: 
15.02.1998
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