Skip to main content
SpringerLink
Log in

The Feigenbaum—Sharkovskii—Magnitskii scenario of transition to chaos in a circuit with a tunnel diode

  • Short Communications
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The scenarios of transition to a chaotic state in a circuit with a tunnel diode are experimentally studied. It is shown that there are regions on the plane of control parameters where the Feigenbaum scenario and the Sharkovskii order alternate and chaos is reached through intermittency.

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

References

  1. M. I. Rabinovich and D. I. Trubetskov, Introduction to Theory of Oscillations and Waves (Nauka, Moscow, 1984)

    Google Scholar 

  2. A. S. Pikovsky and M. I. Rabinovich, Physica 2D, 8 (1981).

    MathSciNet  ADS  Google Scholar 

  3. M. I. Rabinovich, Sov. Phys. Usp. 21, 443 (1978).

    Article  ADS  Google Scholar 

  4. A. S. Pikovskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 23, 883 (1980).

    Google Scholar 

  5. A. V. Skripal’, D. A. Usanov, and A. V. Abramov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 8 (4), 66 (2000).

    Google Scholar 

  6. A. V. Andrushkevich and A. A. Kipchatov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 33, 431 (1990).

    MathSciNet  ADS  Google Scholar 

  7. M. Heinrich, Th. Dahms, V. Flunkert, S. W. Teitsworth, and E. Schöll, New J. Phys. 12, 113030 (2010).

    Article  ADS  Google Scholar 

  8. M. B. Bodrov, Izvestiya vuzov. Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 9 (6), 147 (2001).

    Google Scholar 

  9. I. Abdomerovic, A. G. Lozowski, and P. B. Aronhime, in Proceedings of the 43rd IEEE Midwest Symposium “Circuits and Systems,” Lansing, 2000, Vol. 3, pp. 1026–1028.

    Article  Google Scholar 

  10. K. M. Aliev, I. K. Kamilov, Kh. O. Ibragimov, and N. S. Abakarova, Semiconductors 43, 495 (2009).

    Article  ADS  Google Scholar 

  11. I. K. Kamilov, K. M. Aliev, Kh. O. Ibragimov, and N. S. Abakarova, Prikl. Fiz. 1, 126 (2011).

    Google Scholar 

  12. K. M. Aliev, I. K. Kamilov, Kh. O. Ibragimov, and N. S. Abakarova, Solid State Commun. 148, 171 (2008).

    Article  ADS  Google Scholar 

  13. N. A. Magnitskii and S. V. Sidorov, New Methods for Chaotic Dynamics (URSS, Moscow, 2004).

    Google Scholar 

  14. A. N. Sharkovskii, Ukr. Mat. Zh. 26, 61 (1964).

    Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. M. T. Rosenstein, J. J. Collins, and C. J. de Luca, Physica D 65, 117 (1993).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. M. Sano and Y. Sawada, Phys. Rev. Lett. 55, 1082 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  18. Program for processing time series. http://www.mpipksdresden.mpg.de/~tisean/Tisean_3.0.1

Download references

Author information

Authors and Affiliations

  1. Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, ul. Yagarskogo 94, Makhachkala, 367003, Dagestan, Russia

    Kh. O. Ibragimov, K. M. Aliev & N. S. Abakarova

Authors
  1. Kh. O. Ibragimov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. M. Aliev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. S. Abakarova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kh. O. Ibragimov.

Additional information

Original Russian Text © Kh.O. Ibragimov, K.M. Aliev, N.S. Abakarova, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 8, pp. 150–154.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ibragimov, K.O., Aliev, K.M. & Abakarova, N.S. The Feigenbaum—Sharkovskii—Magnitskii scenario of transition to chaos in a circuit with a tunnel diode. Tech. Phys. 60, 1252–1256 (2015). https://doi.org/10.1134/S1063784215080101

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784215080101

Keywords

Search

Navigation