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A method of distinguishing between the characteristic phases of behavior in complex networks in the intermittent generalized synchronization regime

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Abstract

A method of identification of the phases of synchronous and asynchronous intervals in the time realizations of interacting chaotic systems representing elements of a network with complex coupling topology in the state of transition to the generalized synchronization regime is proposed. The method allows determining the duration of the phases of synchronous and asynchronous dynamics, which potentially allows analyzing the statistical characteristics of the intermittent behavior of the discussed systems.

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References

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

    Book  MATH  Google Scholar 

  2. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).

    Article  ADS  Google Scholar 

  3. N. F. Rulkov, Chaos 6, 262 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  4. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528 (1996).

    Article  ADS  Google Scholar 

  5. O. I. Moskalenko, A. A. Koronovskii, and A. E. Hramov, Phys. Rev. E 87, 64901 (2013).

    Article  ADS  Google Scholar 

  6. Z. Zheng, X. Wang, and M. C. Cross, Phys. Rev. E 65, 56211 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  7. Y.-C. Hung, Y.-T. Huang, M.-C. Ho, and C.-K. Hu, Phys. Rev. E 77, 16202 (2008).

    Article  ADS  Google Scholar 

  8. A. A. Koronovskii, O. I. Moskalenko, S. A. Shurygina, and A. E. Hramov, Chaos. Solitons. Fractals 46, 12 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  9. K. Pyragas, Phys. Rev. E 54, R4508 (1996).

    Article  ADS  Google Scholar 

  10. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).

    Article  ADS  Google Scholar 

  11. Z. Zheng and G. Hu, Phys. Rev. E 62, 7882 (2000).

    Article  ADS  Google Scholar 

  12. O. I. Moskalenko, A. E. Hramov, A. A. Koronovskii, and A. A. Ovchinnikov, Europhys. J. B 82, 69 (2011).

    ADS  Google Scholar 

  13. O. I. Moskalenko, A. A. Koronovskii, A. E. Hramov, and S. Boccaletti, Phys. Rev. E 86, 36216 (2012).

    Article  ADS  Google Scholar 

  14. A. A. Koronovskii, O. I. Moskalenko, A. A. Pivovarov, and A. E. Hramov, Tech. Phys. Lett. 41, 756 (2015).

    Article  ADS  Google Scholar 

  15. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, Phys. Rev. Lett. 89, 194101 (2002).

    Article  ADS  Google Scholar 

  19. P. Berge, Y. Pomeau, and Ch. Vidal, L’Order dans le Haos (Hermann, Paris, 1968).

    Google Scholar 

  20. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 54, 2115 (1996).

    Article  ADS  Google Scholar 

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Correspondence to A. A. Koronovskii.

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Original Russian Text © A.A. Koronovskii, O.I. Moskalenko, A.A. Pivovarov, A.E. Hramov, 2017, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 43, No. 7, pp. 10–16.

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Koronovskii, A.A., Moskalenko, O.I., Pivovarov, A.A. et al. A method of distinguishing between the characteristic phases of behavior in complex networks in the intermittent generalized synchronization regime. Tech. Phys. Lett. 43, 328–330 (2017). https://doi.org/10.1134/S1063785017040113

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  • DOI: https://doi.org/10.1134/S1063785017040113

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