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Phenomenon of generalized synchronization in klystron chaos generators with delayed feedback: Experiment and numerical simulation

  • Materials of Xi All-Russian Seminar “Microwave Physics and Applications”
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The system of unidirectionally coupled klystron chaos generators with delayed feedback has been experimentally and theoretically investigated. A new technique for diagnostics of generalized chaotic synchronization is proposed, which is based on the spectral analysis of a signal from a response klystron generator. Comparison of the obtained experimental and theoretical results is performed.

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References

  1. Blekhman, I.I., Sinkhronizatsiya v prirode i tekhnike (Synchronization in Nature and Technology), Moscow: Nauka, 1981.

    MATH  Google Scholar 

  2. Pikovsky, A., Rosenblum, M., and Kurths, J., Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge: Cambridge Univ. Press, 2001.

    Book  MATH  Google Scholar 

  3. Bocaletti, S., Kurth, J., Osipov, G., et al., Phys. Rep., 2002, vol. 366, p. 1.

    Article  ADS  MathSciNet  Google Scholar 

  4. Cuomo, K. and Oppenheim, A.V., Phys. Rev. Lett., 1993, vol. 71, no. 1, p. 65.

    Article  ADS  Google Scholar 

  5. Trubetskov, D.I. and Khramov, A.E., Lektsii po sverkhvysokochastotnoi elektronike dlya fizikov (Lectures on Microwave Electronics for Physicists), Vols. 1, 2, Moscow: Fizmatlit, 2004.

    Google Scholar 

  6. Dmitriev, A.S. and Panas, A.I., Dinamicheskii khaos. Novye nositeli informatsii dlya sistem svyazi (Dynamic Chaos. New Data Carriers for Communication Systems), Moscow: Fizmatlit, 2002.

    Google Scholar 

  7. Abarbanel, H.D.I., Rulkov, N.F., and Sushchik, M.M., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1996, vol. 53, no. 5, p. 4528.

    Article  Google Scholar 

  8. Pyragas, K., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1996, vol. 54, p. R4508.

    Article  Google Scholar 

  9. Pecora, L.M., Carrol, T.L., and Heagy, J.F., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 1995, vol. 52, no. 4, p. 3420.

    Article  Google Scholar 

  10. Hramov, A.E. and Koronovskii, A.A., Europhys. Lett., 2005, vol. 70, no. 2, p. 169.

    Article  ADS  Google Scholar 

  11. Rulkov, N.F., Chaos, 1996, vol. 6, no. 3, p. 262.

    Article  ADS  MathSciNet  Google Scholar 

  12. Hramov, A.E., Koronovskii, A.A., Kurovskaya, M.K., and Moskalenko, O.I., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 2005, vol. 71, no. 5, 056204.

  13. Astakhov, V., Shabunin, A., Kapitaniak, T., and Anishchenko, V.S., Phys. Rev. Lett., 1997, vol. 79, no. 6, p. 1014.

    Article  ADS  Google Scholar 

  14. Koronovskii, A.A., Moskalenko, O.I., and Khramov, A.E., Zh. Tekh. Fiz., 2006, vol. 76, no. 2, p. 1 [Tech. Phys. (Engl. Transl.), vol. 76, no. 2, p. 1].

    Google Scholar 

  15. Shigaev, A.M., Dmitriev, B.S., Zharkov, Yu.D., and Ryskin, N.M., IEEE Trans. Electron Devices, 2005, vol. 52, no. 5, p. 790.

    Article  ADS  Google Scholar 

  16. Dmitriev, B.S., Zharkov, Yu.D., Klokotov, D.V., and Ryskin, N.M., Zh. Tekh. Fiz., 2003, vol. 73, no. 7, p. 105 [Tech. Phys. (Engl. Transl.), vol. 73, no. 7, p. 901].

    Google Scholar 

  17. Bakhvalov, N.S., Zhidkov, N.P., and Kobel’kov, G.M., Chislennye metody (Numerical Methods), Moscow: Nauka, 1987.

    MATH  Google Scholar 

  18. Starodubov, A.V., Koronovskii, A.A., Khramov, A.E., et al., Pis’ma Zh. Tekh. Fiz., 2007, vol. 33, no. 14, p. 58.

    Google Scholar 

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Correspondence to A. V. Starodubov.

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Original Russian Text © A.V. Starodubov, A.A. Koronovskii, A.E. Khramov, Yu.D. Zharkov, B.S. Dmitriev, V.N. Skorokhodov, 2008, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2008, Vol. 72, No. 1, pp. 148–152.

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Starodubov, A.V., Koronovskii, A.A., Khramov, A.E. et al. Phenomenon of generalized synchronization in klystron chaos generators with delayed feedback: Experiment and numerical simulation. Bull. Russ. Acad. Sci. Phys. 72, 136–140 (2008). https://doi.org/10.3103/S1062873808010310

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  • DOI: https://doi.org/10.3103/S1062873808010310

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