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

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Dmitriev B. S., Zharkov Y. D., Kizhaeva K. K., Klokotov D. V., Ryskin N. M., Shigaev A. M. Complex dynamics of multiple-cavity klystron oscillators with delayed feedback. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 5, pp. 37-49. DOI: 10.18500/0869-6632-2002-10-5-37-49

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Complex dynamics of multiple-cavity klystron oscillators with delayed feedback

Dmitriev Boris Savelevich, Saratov State University
Zharkov Yurij Dmitrievich, Saratov State University
Kizhaeva Ksenia Kirillovna, Saratov State University
Klokotov Dmitry Vyacheslavovich, Saratov State University
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Shigaev Andrey Mikhailovich, Saratov State University

Main investigation results оf complex dynamics оf delayed feedback klystron oscillators are presented. Mathematical models оf oscillators based оn double-cavity and multi-cavity klystrons are discussed. Self-excitation conditions, modes of stationary single-frequency oscillation, self-modulation conditions have been analyzed theoretically. Also the experimental device is described for the dynamics investigation of multi-cavity klystron oscillator and the results оf experimental study оf different oscillation modes (single-frequency, multi-frequency and chaotic) are presented. The work shows that experimental data are in а good qualitative agreement with theoretical results.

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The work was carried out with the financial support of the CRDF grant No. REC-006 of the Universities of Russia program (grant UR 01.01.021).
  1. Dmitriev BS, Zharkov YD, Ryskin NM, Shigaev AM. Theoretical and experimental study of chaotic oscillations of a klystron self-oscillator with delay. J. Commun. Technol. Electron. 2001;46(5):604–610 (in Russian).
  2. Kuznetsov SP. Complex dynamics of oscillators with delayed feedback (review). Radiophys. Quantum Electron. 1982;25(12):996–1009. DOI: 10.1007/BF01037379.
  3. Neimark YI, Landa PS. Stochastic and Chaotic Oscillations. Dordrecht: Springer; 1992. 500 p. DOI: 10.1007/978-94-011-2596-3.
  4. Dmitriev AS, Kislov VY. Stochastic Oscillations in Radiophysics and Electronics. Moscow: Nauka; 1989. 280 p. (in Russian).
  5. Kuznetsov SP. Application of the mathematical apparatus of the theory of differential equations with deviating argument to some problems in microwave electronics. In: Lectures on Microwave Electronics. 3rd Winter School-Seminar for Engineers. Book 1. Saratov: Saratov University Publishing; 1974. P. 112 (in Russian).
  6. Kuznetsov SP, Perelman AY, Trubetskov DI. Self-modulation and stochastic modes in a traveling wave klystron with external feedback. Sov. Phys. Tech. Phys. 1983;53(1):163–166 (in Russian).
  7. Ergakov VS, Moiseev MA. Two-cavity oscillator with delayed feedback. Sov. J. Commun. Technol. Electron. 1986;31(5):962–967 (in Russian).
  8. Afanasyeva VV, Lazerson AG. Dynamic chaos in two-cavity klystron self-oscillators with delayed feedback. Izvestiya VUZ. Applied Nonlinear Dynamics. 1995;3(4):88 (in Russian).
  9. Dmitrieva TV, Ryskin NM, Titov VN, Shigaev AM. Complex dynamics of simple models of distributed electron-wave systems. Izvestiya VUZ. Applied Nonlinear Dynamics. 1999;7(6):66–82 (in Russian).
  10. Gaiduk VI, Palatov KI, Petrov DM. Physical Foundations of Microwave Electronics. Moscow: Sovetskoe Radio; 1971. 600 p. (in Russian).
  11. Weinstein LA, Solntsev VA. Lectures on Microwave Electronics. Moscow: Sovetskoe Radio; 1973. 399 p. (in Russian).
  12. Ryskin NM, Shigaev AM. Complex dynamics of a simple distributed self-oscillatory model system with delay. Tech. Phys. 2002;47(7):795–802. DOI: 10.1134/1.1495037.
  13. Shevchik VN. Fundamentals of Microwave Electronics. Moscow: Sovetskoe Radio; 1959. 508 p. (in Russian).
  14. Kalinin VI, Zalogin NN, Kislov VY. Nonlinear resonance and stochasticity in a self-oscillating system with delay. Radio Engineering and Electronic Physics. 1983;28(10):2001–2007 (in Russian).
  15. Kats VA. Appearance of chaos and its evolution in a distributed oscillator with delay (experiment). Radiophys. Quantum Electron. 1985;28(2):107–119. DOI: 10.1007/BF01035051.
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