Detecting latent synchronization

Technical Physics Letters volume 32, pages 954–957 (2006)Cite this article

Abstract

A method for the detection of nonstationary and delayed synchronization is proposed, which is based on the sequential application of two graphical techniques: (i) nonlinear recurrent analysis of time series and (ii) a procedure based on the Hough transform for the identification of boundaries of the onset and loss of coupling between systems.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

43,34 €

Tax calculation will be finalised during checkout.

References

  1. 1.

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

    MATH  Google Scholar 

  2. 2.

    A. A. Koronovskiĭ and A. E. Hramov, Pis’ma Zh. Éksp. Teor. Fiz. 79, 391 (2004) [JETP Lett. 79, 316 (2004)].

    Google Scholar 

  3. 3.

    A. A. Koronovskiĭ, O. I. Moskalenko, and A. E. Hramov, Pis’ma Zh. Tekh. Fiz. 32(3), 40 (2006) [Tech. Phys. Lett. 32, 113 (2006)].

    Google Scholar 

  4. 4.

    M. C. Romano, M. Thiel, J. Kurths, et al., Europhys. Lett. 71, 466 (2005).

    Article  ADS  Google Scholar 

  5. 5.

    J.-P. Eckmann, O. S. Kamphorst, and D. Ruelle, Europhys. Lett. 4, 973 (1987).

    ADS  Google Scholar 

  6. 6.

    N. Marwan, M. Thirl, and N. R. Nowaczyk, Nonlin. Process. Geophys. 9, 325 (2002).

    ADS  Article  Google Scholar 

  7. 7.

    J. P. Zbilut, A. Giulian, and C. L. Webber, Jr., Phys. Lett. A 246, 122 (1998).

    Article  ADS  Google Scholar 

  8. 8.

    N. Marwan and J. Kurths, Phys. Lett. A 336, 349 (2005).

    Article  ADS  MATH  Google Scholar 

  9. 9.

    Y.-T. Ching, Pattern Recogn. Lett. 22, 421 (2001).

    MATH  Article  Google Scholar 

Download references

Author information

Affiliations

  1. Fock Institute of Physics, St. Petersburg State University, St. Petersburg, 198504, Russia

    N. V. Zolotova & D. I. Ponyavin

Authors
  1. N. V. Zolotova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. I. Ponyavin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © N.V. Zolotova, D.I. Ponyavin, 2006, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 32, No. 21, pp. 84–94.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Zolotova, N.V., Ponyavin, D.I. Detecting latent synchronization. Tech. Phys. Lett. 32, 954–957 (2006). https://doi.org/10.1134/S1063785006110149

Download citation

PACS numbers

  • 05.45.Xt