Skip to main content
Log in

Synchronization of quasi-periodic oscillations in coupled phase oscillators

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

The phenomenon of synchronization of two oscillators under the action of an external force has been studied in a phase approximation. The Lyapunov maps are presented and the possible types of regimes are considered. Various types of two-frequency tori are revealed and classified.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. S. Landa, Nonlinear Oscillations and Waves in Dynamical Systems (Kluwer Academic Publishers, Dordrecht, 1996; Nauka, Moscow, 1997).

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  3. A. P. Kuznetsov, S. P. Kuznetsov, and N. M. Ryskin, Nonlinear Oscillations (Fizmatlit, Moscow, 2002) [in Russian].

    Google Scholar 

  4. V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova, and G. I. Strelkova, Synchronization of Regular, Chaotic, and Stochastic Oscillations (Institute of Computer Investigations, Moscow-Izhevsk, 2008) [in Russian].

    Google Scholar 

  5. V. Anishchenko, S. Nikolaev, and J. Kurths, Chaos 18, 037123 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  6. V. S. Anishchenko, S. V. Astakhov, and T. E. Vadivasova, Europhys. Lett. 86, 30 003 (2009).

    Article  Google Scholar 

  7. V. S. Anishchenko, S. V. Astakhov, T. E. Vadivasova, and A. V. Feoktistov., Nelin. Dinam. 5, 237 (2009).

    Google Scholar 

  8. V. I. Arnol’d and Yu. S. Il’yashenko, Ordinary Differential Equations (Itogi Nauki Tekh.: Sovrem. Probl. Mat., Fundam. Napravl., Vol. 1) (VINITI, Moscow, 1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. V. Tyuryukina.

Additional information

Original Russian Text © A.P. Kuznetsov, I.R. Sataev, L.V. Tyuryukina, 2010, published in Pis’ma v Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 36, No. 10, pp. 73–80.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuznetsov, A.P., Sataev, I.R. & Tyuryukina, L.V. Synchronization of quasi-periodic oscillations in coupled phase oscillators. Tech. Phys. Lett. 36, 478–481 (2010). https://doi.org/10.1134/S1063785010050263

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063785010050263

Keywords

Navigation