Skip to main content
SpringerLink
Log in

Appearance of generalized synchronization in mutually coupled beam-plasma systems

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

The phenomenon of generalized synchronization onset between mutually coupled beam-plasma systems (Pierce diodes) with supercritical currents has been discovered. It is established that the appearance of a synchronous regime is related to the change in one Lyapunov exponent from a positive to negative value. The results of the analysis are confirmed by the nearest-neighbor method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Koronovskii, D. I. Trubetskov, and A. E. Hramov, Methods of Nonlinear Dynamics and Chaos in Problems of Microwave Electronics, Vol. 2: Nonstationary and Chaotic Processes (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  2. D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists (Fizmatlit, Moscow, 2003, Vol. 1; 2004, Vol. 2) [in Russian].

    Google Scholar 

  3. N. N. Zalogin and V. V. Kislov, Broadband Chaotic Signals in Radio Engineering and Information Systems (Radiotekhnika, Moscow, 2006) [in Russian].

    Google Scholar 

  4. A. A. Koronovskii, O. I. Moskalenko, and A. E. Hramov, Usp. Fiz. Nauk 179, 1281 (2009) [Phys. Usp. 52, 1213 (2009)].

    Article  Google Scholar 

  5. P. V. Popov, R. A. Filatov, A. A. Koronovskii, and A. E. Hramov, Pis’ma Zh. Tekh. Fiz. 31(6), 9 (2005) [Tech. Phys. Lett. 31, 221 (2005)].

    Google Scholar 

  6. R. A. Filatov, A. E. Hramov, and A. A. Koronovskii, Phys. Lett. A 358, 301 (2006).

    Article  ADS  MATH  Google Scholar 

  7. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).

    Article  ADS  Google Scholar 

  8. Z. Zheng, X. Wang, and M. C. Cross, Phys. Rev. E 65, 056 211 (2002).

    MathSciNet  Google Scholar 

  9. Y. Hung, Y. Huang, M. Ho, and C. Hu, Phys. Rev. E 77, 016 202 (2008).

    Article  Google Scholar 

  10. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996).

    Article  ADS  Google Scholar 

  11. K. Pyragas, Phys. Rev. E 56, 5183 (1997).

    Article  ADS  Google Scholar 

  12. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528 (1996).

    Article  ADS  Google Scholar 

  13. O. I. Moskalenko, A. A. Koronovskii, A. E. Hramov, and S. A. Shurygina, Proceedings of the 18th IEEE Workshop on Nonlinear Dynamics of Electronic Systems (2010), pp. 70–73.

  14. V. G. Anfinogentov and D. I. Trubetskov, Radiotekh. Elektron. 37, 2251 (1992).

    Google Scholar 

  15. A. A. Koronovskii, O. I. Moskalenko, N. S. Frolov, and A. E. Hramov Pis’ma Zh. Tekh. Fiz. 36(14), 19 (2010) [Tech. Phys. Lett. 36, 645 (2005)].

    Google Scholar 

  16. A. E. Hramov and I. S. Rempen, Int. J. Electron. 91, 1 (2004).

    Article  Google Scholar 

  17. A. E. Hramov and A. A. Koronovskii, Europhys. Lett. 80, 10 001 (2007).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saratov State University, Saratov, Russia

    A. A. Koronovskii, O. I. Moskalenko, V. A. Maksimenko & A. E. Hramov

Authors
  1. A. A. Koronovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. I. Moskalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. A. Maksimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. E. Hramov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. I. Moskalenko.

Additional information

Original Russian Text © A.A. Koronovskii, O.I. Moskalenko, V.A. Maksimenko, A.E. Hramov, 2011, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 37, No. 13, pp. 40–47.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koronovskii, A.A., Moskalenko, O.I., Maksimenko, V.A. et al. Appearance of generalized synchronization in mutually coupled beam-plasma systems. Tech. Phys. Lett. 37, 610–613 (2011). https://doi.org/10.1134/S1063785011070108

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063785011070108

Keywords

Search

Navigation