Skip to main content
SpringerLink
Log in

Estimate of the degree of synchronization in the intermittent phase synchronization regime from a time series (model systems and neurophysiological data)

  • Biophysics
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

A method for determining the degree of synchronization of intermittent phase synchronization regime from a time series has been proposed on the basis of estimating the zero conditional Lyapunov exponent. The efficiency of the method has been tested on model systems near the boundary of the appearance of the synchronous regime. The method has been used to determine the degree of synchronization between various regions of the brain of rats of the WAG/Rij line having a genetic predisposition to epilepsy.

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. N. B. Janson, A. G. Balanov, V. S. Anishchenko, and P. V. E. McClintock, Phys. Rev. Lett. 86, 1749 (2001).

    Article  ADS  Google Scholar 

  2. P. Bob, M. Palus, M. Susta, and K. Glaslova, Neurosci. Lett. 447, 73 (2008).

    Article  Google Scholar 

  3. V. S. Anishchenko and D. E. Postnov, Sov. Tech. Phys. Lett. 14, 254 (1988).

    MathSciNet  Google Scholar 

  4. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).

    Article  ADS  Google Scholar 

  5. A. S. Pikovsky, G. V. Osipov, M. G. Rosenblum, M. Zaks, and J. Kurths, Phys. Rev. Lett. 79, 47 (1997).

    Article  ADS  Google Scholar 

  6. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and S. Boccaletti, Phys. Rev. Lett. 97, 114101 (2006).

    Article  ADS  Google Scholar 

  7. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, A. A. Ovchinnikov, and S. Boccaletti, Phys. Rev. E 76, 026206 (2007).

    Article  ADS  Google Scholar 

  8. A. E. Hramov, A. A. Koronovskii, V. A. Makarov, A. N. Pavlov, and E. Sitnikova, Wavelets in Neuroscience (Springer, Heidelberg, New York, Dordrecht, London, 2015).

    Book  MATH  Google Scholar 

  9. M. K. Kurovskaya, Tech. Phys. Lett. 34, 1063 (2008).

    Article  ADS  Google Scholar 

  10. A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, Phys. Rev. E 78, 036212 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  11. O. I. Moskalenko, A. A. Koronovskii, and A. E. Hramov, Phys. Rev. E 92, 012913 (2015).

    Article  ADS  Google Scholar 

  12. A. A. Koronovskii, M. K. Kurovskaya, A. E. Khramov, and S. A. Shurygina, Tech. Phys. 54, 1403 (2009).

    Article  Google Scholar 

  13. G. Benettin, L. Galgani, A. Giorgilli, and J.-M. Strelcyn, Meccanica 15, 9 (1980).

    Article  ADS  Google Scholar 

  14. O. I. Moskalenko and A. S. Pavlov, Tech. Phys. Lett. 40, 526 (2014).

    Article  ADS  Google Scholar 

  15. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and O. I. Moskalenko, Phys. Lett. A 375, 1646 (2011).

    Article  ADS  Google Scholar 

  16. E. Sitnikova, A. E. Hramov, V. V. Grubov, A. A. Ovchinnkov, and A. A. Koronovsky, Brain Res. 1436, 147 (2012).

    Article  Google Scholar 

  17. A. E. Hramov, A. A. Koronovskii, I. S. Midzyanovskaya, E. Sitnikova, and C. M. Rijn, Chaos 16, 043111 (2006).

    Article  ADS  Google Scholar 

  18. A. E. Hramov and A. A. Koronovskii, Chaos 14, 603 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  19. A. A. Koronovskii and A. E. Hramov, JETP Lett. 79, 316 (2004).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Research Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

    O. I. Moskalenko, A. A. Koronovskii, A. E. Hramov & M. O. Zhuravlev

  2. Saratov State Technical University, ul. Politekhnicheskaya 77, Saratov, 410054, Russia

    O. I. Moskalenko, A. A. Koronovskii, A. E. Hramov & M. O. Zhuravlev

Authors
  1. O. I. Moskalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Koronovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. E. Hramov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. O. Zhuravlev
    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 © O.I. Moskalenko, A.A. Koronovskii, A.E. Hramov, M.O. Zhuravlev, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 103, No. 8, pp. 606–610.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moskalenko, O.I., Koronovskii, A.A., Hramov, A.E. et al. Estimate of the degree of synchronization in the intermittent phase synchronization regime from a time series (model systems and neurophysiological data). Jetp Lett. 103, 539–543 (2016). https://doi.org/10.1134/S0021364016080105

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364016080105

Search

Navigation