Skip to main content
Log in

Theoretical and numerical investigation of “intermittent” intermittency in coupled chaotic systems

  • Published:
Technical Physics Letters Aims and scope Submit manuscript

Abstract

The behavior of a chaotic system is theoretically described that simultaneously exhibits type-I intermittency and ring intermittency. The theory, as applied to a system of two unidirectionally coupled chaotic Rössler oscillators, shows good agreement with the results of numerical simulations.

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. Berge, Y. Pomeau, and Ch. Vidal, Order within Chaos (Hermann, Paris, 1968; Wiley/Hermann, New York, 1986).

    Google Scholar 

  2. H. G. Schuster, Deterministic Chaos: An Introduction (Physik, Weinheim, 1984).

    MATH  Google Scholar 

  3. S. Boccaletti and D. L. Valladares, Phys. Rev. E 62, 7497 (2000).

    Article  ADS  Google Scholar 

  4. A. E. Hramov and A. A. Koronovskii, Europhys. Lett. 70, 169 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  5. O. I. Moskalenko, A. A. Koronovskii, and S. A. Shurygina, Nelin. Din. 7, 197 (2011).

    Google Scholar 

  6. J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. M. O. Zhuravlev, A. A. Koronovskii, O. I. Moskalenko, and A. E. Khramov, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 19, 109 (2011).

    MATH  Google Scholar 

  10. M. O. Zhuravlev, A. A. Koronovskii, O. I. Moskalenko, A. A. Ovchinnikov, and A. E. Hramov, Phys. Rev. E 83, 027201 (2011).

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. A. E. Hramov and A. A. Koronovskii, Phys. D 206, 252 (2005).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. O. Zhuravlev.

Additional information

Original Russian Text © M.O. Zhuravlev, A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov, 2013, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 39, No. 14, pp. 1–7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhuravlev, M.O., Koronovskii, A.A., Moskalenko, O.I. et al. Theoretical and numerical investigation of “intermittent” intermittency in coupled chaotic systems. Tech. Phys. Lett. 39, 626–628 (2013). https://doi.org/10.1134/S1063785013070262

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063785013070262

Keywords

Navigation