Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2018, Volume 14, Number 2, Pages 155–168
DOI: https://doi.org/10.20537/nd180201 (Mi nd604) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback

R. M. Rozentala, O. B. Isaevabc, N. S. Ginzburga, I. V. Zotovaa, A. S. Sergeeva, A. G. Rozhnevbc

a Federal Research Center, Institute of Applied Physics RAS, ul. Ul’yanova 46, Box-120, Nizhny Novgorod, Russia, 603950
b Saratov Branch of the Kotelnikov Institute of Radio Engineering and Electronics RAS, ul. Zelenaya 38, Saratov, 410019 Russia
c Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia
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DOI: https://doi.org/10.20537/nd180201
Abstract: Within the framework of the nonstationary model with nonfixed field structure, we investigate the model of a 3-mm band gyroklystron with delayed feedback. It is shown that both chaotic and hyperchaotic generation regimes are possible in this system. The chaotic regime due to a Feigenbaum period-doubling cascade is characterized by one positive Lyapunov exponent. Further transition to hyperchaos is determined by the appearance of another positive exponent in the Lyapunov spectrum. The correlation dimension of the corresponding attractors reaches values of about 3.5.
Keywords: chaos, hyperchaos, Lyapunov exponents, gyroklystron.
Funding agency Grant number
Russian Foundation for Basic Research 16-02-00745
Russian Science Foundation 17-12-01008
The part of the work concerned with simulation of chaotic dynamics of the gyroklystron was supported by the RFBR, grant no. 16-02-00745. O. B. Isaeva acknowledges the support from the RSF, grant no. 17-12-01008, for the work involved in calculating the characteristics of chaotic signals.
Received: 20.11.2017
Accepted: 11.12.2017
Bibliographic databases:
Document Type: Article
MSC: 37D20, 37D45, 37L30, 37L45
Language: English
Citation: R. M. Rozental, O. B. Isaeva, N. S. Ginzburg, I. V. Zotova, A. S. Sergeev, A. G. Rozhnev, “Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback”, Nelin. Dinam., 14:2 (2018), 155–168
Citation in format AMSBIB
\Bibitem{RozIsaGin18}
\by R. M. Rozental, O. B. Isaeva, N. S. Ginzburg, I. V. Zotova, A. S. Sergeev, A. G. Rozhnev
\paper Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 2
\pages 155--168
\mathnet{http://mi.mathnet.ru/nd604}
\crossref{https://doi.org/10.20537/nd180201}
\elib{https://elibrary.ru/item.asp?id=35417122}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050104151}
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    		Нелинейная динамика
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