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Transient Processes in the Distributed Active Medium “Helical Electron Beam–Counterpropagating Electromagnetic Wave”

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Abstract

In this paper, we study the transient processes in a nonautonomous distributed active medium formed by a gyro-counterpropagating-wave oscillator (gyro-CWO) synchronized by an external signal. We analyze how the time required to achieve the synchronous mode depends on the ratio between the external-signal phase and the self-oscillation phase. The characteristics of transient chaos in a gyro-CWO near the synchronization area are also examined.

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REFERENCES

  1. G.S. Nusinovich and M. Walter,Phys. Rev. E 60 No.4,4811 (1999).

    Google Scholar 

  2. J. Rodgers and H. Guo, G.S. Nusinovich,and V.L. Granatstein,IEEE Trans. Plasma Sci,48 No.10, 2434 (2001).

    Google Scholar 

  3. G.S. Nusinovich, W. Chen,and V.L. Granatstein,Phys. Plasmas 8 No.2,631 (2001).

    Google Scholar 

  4. G.S. Nusinovich, O.V. Sinitsyn,and A.Kesar,Phys. Plasmas 8 No.7,3427 (2001).

    Google Scholar 

  5. G.S. Nusinovich, A.N. Vlasov,and T.M. Antonsen,Phys. Rev. Lett.,8 No.21,article No.218301 (2001).

  6. A.Yu. Dmitriev, D.I. Trubetskov,and A.P. Chetverikov,Radiophys. Quantum Electron,34 No.5, 502 (1991).

    Google Scholar 

  7. D.I. Trubetskov and A.P. Chetverikov,Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din,2 No.5,3 (1994).

    Google Scholar 

  8. A.H. McCurdy,Appl. Phys. Lett.,66 No.14,1845 (1995).

    Google Scholar 

  9. D.I. Trubetskov and A.E. Khramov,Tech. Phys. Let t.,28 No.9,767 (2002).

    Google Scholar 

  10. A.A. Koronovsky, D.I. Trubetskov,and A.E. Khramov,Radiophys. Quantum Electron.45 No.9, 706 (2002).

    Google Scholar 

  11. A.A. Koronovsky, D.I.Trubetskov,and A.E. Khramov,Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din,10 No.5,3 (2002).

    Google Scholar 

  12. D.I. Trubetskov and A.E. Khramov,J. Commun. Technol. Electron., 48 No.1,105 (2003).

    Google Scholar 

  13. C. Grebogi, E. Ott,and J.A. Yorke,Physica D 7 181 (1983).

    Google Scholar 

  14. T.Téel,in:Bai-Iin Hao,ed.,Directions in Chaos, Vol. 3 World Scientific, Singapore (1990).

    Google Scholar 

  15. I.M.Jáanosi and T.Téel,Phys. Rev. E 49 2756 (1994).

    Google Scholar 

  16. V.K. Yulpatov,Vopr. Radioéelektron. Ser. 1. élektronika No.12,15 (1965).

  17. V.K. Yulpatov,Vopr. Radioéelektron. Ser. 1. élektronika No.12,24 (1965).

  18. S.P. Kuznetsov and D.I. Trubetskov,Electronics of Backward-Wave Oscillators [in Russian ],Saratov State Univ., Saratov (1975),p.135.

    Google Scholar 

  19. C.S. Kou, S.H. Chen, L.R. Barnett, H.Y. Chen,and K.R. Chu,Phys. Rev. Lett.,70 No.7,924 (1993).

    Google Scholar 

  20. R. Adler,Proc. IRE 34 No.6,351 (1949).

    Google Scholar 

  21. D.I. Trubetskov and A.E. Khramov,Izv. Rossiisk. Akad. Nauk, Ser. Fiz.,66 No.12,1761 (2002).

    Google Scholar 

  22. M.I. Rabinovich and D.I. Trubetskov,Oscillations and Waves in Linear and Nonlinear Systems Kluwer Academic Publ., Dordrecht (1989).

    Google Scholar 

  23. V.S. Anishchenko and T.E. Vadivasova,J. Commun. Technol. Electron., 47 No.2,117 (2002).

    Google Scholar 

  24. G.B. Astafiev, A.A. Koronovsky,and A.E. Khramov,Izv. Rossiisk. Akad. Nauk, Ser. Fiz.,67 No.12, 1688 (2003).

    Google Scholar 

  25. A.A. Koronovsky, D.I. Trubetskov, A.E. Khramov,and A.E. Khramova,Radiophys. Quantum Electron. 45 No.10,806 (2002).

    Google Scholar 

  26. P.Grassberger and I.Procaccia,Phys. Rev. Lett.,50 346 (1983).

    Google Scholar 

  27. P. Grassberger and I. Procaccia,Physica D 9 189 (1983).

    Google Scholar 

  28. M.Dhamala, L.Ying-Cheng,and E.J. Kostelich,Phys. Rev. E 64 article No.056207 (2001).

  29. A.E. Hramov, A.A. Koronovskii, I.S. Rempen,and D.I. Trubetskov,Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din,10 No.3,97 (2002).

    Google Scholar 

  30. A. Wolf, J. Swift, J.L. Swinney,and J. Vastano,Physica D 16 285 (1989).

    Google Scholar 

  31. J.-P. Eckmann, S.O. Kamphorst, D.Ruelle,and D.Gilberto,Phys. Rev. A 34 4971 (1986). 340

    Google Scholar 

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Koronovsky, A.A., Trubetskov, D.I. & Khramov, A.E. Transient Processes in the Distributed Active Medium “Helical Electron Beam–Counterpropagating Electromagnetic Wave”. Radiophysics and Quantum Electronics 47, 332–340 (2004). https://doi.org/10.1023/B:RAQE.0000046308.77565.8f

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  • DOI: https://doi.org/10.1023/B:RAQE.0000046308.77565.8f

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