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Effect of Noise Signal Characteristics on Threshold of the Mode of Generalized Synchronization in Systems with Complex Attractor Topology

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

An analysis is performed of the effect noise signal characteristics have on the threshold of the mode of generalized synchronization in systems with complex topology of the attractor. The mode of generalized synchronization is found to be resistant to noise in a wide but limited range of changes in intensity, regardless of its type.

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REFERENCES

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

    Book  Google Scholar 

  2. Anishchenko, V.S., Slozhnye kolebaniya v prostykh sistemakh. Mekhanizmy vozniknoveniya, struktura i svoistva dinamicheskogo khaosa v radiofizicheskikh sistemakh (Complex Vibrations in Simple Systems: Mechanisms of Occurrence, Structure, and Properties of Dynamic Chaos in Radiophysical Systems), Moscow: URSS, 2009.

  3. Kocarev, L. and Parlitz, U., Phys. Rev. Lett., 1995, vol. 74, no. 25, p. 5028.

    Article  ADS  Google Scholar 

  4. Koronovskii, A.A., Moskalenko, O.I., and Hramov, A.E., Phys.—Usp., 2009, vol. 179, no. 12, p. 1213.

    Article  ADS  Google Scholar 

  5. Pavlov, A., Sosnovtseva, O., Ziganshin, A., et al., Phys. A (Amsterdam, Neth.), 2002, vol. 316, nos. 1–4, p. 233.

  6. Maslennikov, O.V. and Nekorkin, V.I., Phys.—Usp., 2017, vol. 60, p. 694.

    Article  ADS  Google Scholar 

  7. Hramov, A.E., Frolov, N.S., Maksimenko, V.A., et al., Phys.—Usp., 2021, vol. 64, p. 584.

    Article  ADS  Google Scholar 

  8. Dmitriev, B.S., Hramov, A.E., Koronovskii, A.A., et al., Phys. Rev. Lett., 2009, vol. 102, no. 7, 074101.

    Article  ADS  Google Scholar 

  9. Rulkov, N.F., Sushchik, M.M., Tsimring, L.S., and Abarbanel, H.D.I., Phys. Rev. E, 1995, vol. 51, no. 2, p. 980.

    Article  ADS  Google Scholar 

  10. Pyragas, K., Phys. Rev. E, 1996, vol. 54, no. 5, R4508.

    Article  ADS  Google Scholar 

  11. Abarbanel, H.D.I., Rulkov, N.F., and Sushchik, M.M., Phys. Rev. E, 1996, vol. 53, no. 5, p. 4528.

    Article  ADS  Google Scholar 

  12. Toral, R., Mirasso, C.R., Hernández-García, E., and Piro, O., Chaos, 2001, vol. 11, p. 665.

    Article  ADS  Google Scholar 

  13. Moskalenko, O.I., Hramov, A.E., Koronovskii, A.A., and Ovchinnikov, A.A., Eur. Phys. J. B, 2011, vol. 82, no. 1, p. 69.

    Article  ADS  Google Scholar 

  14. Hramov, A.E. and Koronovskii, A.A., Phys. Rev. E, 2005, vol. 71, 067201.

    Article  ADS  Google Scholar 

  15. Hramov, A.E., Koronovskii, A.A., and Moskalenko, O.I., Europhys. Lett., 2005, vol. 72, no. 6, p. 901.

    Article  ADS  MathSciNet  Google Scholar 

  16. Hramov, A.E., Koronovskii, A.A., and Moskalenko, O.I., Phys. Lett. A, 2006, vol. 354, nos. 5–6, p. 423.

    Article  ADS  Google Scholar 

  17. Koronovskii, A.A., Moskalenko, O.I., Ovchinnikov, A.A., and Hramov, A.E., Bull. Russ. Acad. Sci.: Phys., 2009, vol. 73, no. 12, p. 1616.

    Article  Google Scholar 

  18. Moskalenko, O.I., Koronovskii, A.A., and Hramov, A.E., Phys. Lett. A, 2010, vol. 374, no. 29, p. 2925.

    Article  ADS  Google Scholar 

  19. Moskalenko, O.I. and Khanadeev, V.A., Izv. Saratov. Univ., Ser. Fiz., 2021, vol. 21, no. 3, p. 233.

    Google Scholar 

  20. Khanadeev, V.A., Moskalenko, O.I., and Korono-vskii, A.A., Bull. Russ. Acad. Sci.: Phys., 2021, vol. 85, no. 2, p. 192.

    Article  MathSciNet  Google Scholar 

  21. Chen, Z., Yang, Y., Qi, G., and Yuan, Z., Phys. Lett. A, 2007, vol. 360, no. 6, p. 696.

    Article  ADS  MathSciNet  Google Scholar 

  22. Nikitin, N.N., Pervachev, S.V., and Razevig, V.D., Avtom. Telemekh., 1975, no. 4, p. 133.

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Funding

This work was supported by an RF Presidential Grant for Young Russian Scientists and Doctors of Science, project no. MD-21.2020.2.

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Authors and Affiliations

  1. Chernyshevsky National Research State University, 410012, Saratov, Russia

    V. A. Khanadeev & O. I. Moskalenko

  2. Regional Center of Mathematics of Future Technologies, 410012, Saratov, Russia

    V. A. Khanadeev & O. I. Moskalenko

Authors
  1. V. A. Khanadeev
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  2. O. I. Moskalenko
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Corresponding author

Correspondence to V. A. Khanadeev.

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The authors declare that they have no conflicts of interest.

Additional information

Translated by A. Ivanov

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Khanadeev, V.A., Moskalenko, O.I. Effect of Noise Signal Characteristics on Threshold of the Mode of Generalized Synchronization in Systems with Complex Attractor Topology. Bull. Russ. Acad. Sci. Phys. 86, 226–229 (2022). https://doi.org/10.3103/S1062873822020125

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  • DOI: https://doi.org/10.3103/S1062873822020125

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