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The volume of information as a measure of the chaos synchronization

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Abstract

A characteristic is suggested for the evaluation of the degree of synchronization of the chaotic oscillations in a system of two coupled oscillators. The proposed value is tested by application to the case of two unidirectionally coupled logistic maps. It is shown that this characteristic is stable with respect to a low noise and a nonlinear distortion of the signal.

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References

  1. E. N. Dudnik, Yu. I. Kuznetsov, I. I. Minakova, and Yu. M. Romanovskii, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 24(4), 84 (1983).

    Google Scholar 

  2. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69(1), 32 (1983).

    ADS  MathSciNet  Google Scholar 

  3. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 29(9), 1050 (1986).

    ADS  MathSciNet  Google Scholar 

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

    ADS  Google Scholar 

  5. V. S. Anishchenko, T. E. Vadivasova, D. É. Postnov, and M. A. Safonova, Radiotekh. Élektron. (Moscow) 36(2), 338 (1991).

    ADS  Google Scholar 

  6. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76(11), 1804 (1996).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. V. Astakhov, A. Shabunin, T. Kapitaniak, and V. Anishchenko, Phys. Rev. Lett. 79(6), 1014 (1997).

    Article  ADS  Google Scholar 

  9. V. Astakhov, M. Hasler, T. Kapitaniak, et al., Phys. Rev. E 58(5), 5620 (1998).

    Article  ADS  Google Scholar 

  10. Yu. L. Klimontovich, Statistical Physics (Nauka, Moscow, 1982; Harwood, Chur, 1986).

    Google Scholar 

  11. P. Ashvin, J. Beuescu, and I. Stewart, Phys. Lett. A 193, 126 (1994).

    ADS  MathSciNet  Google Scholar 

  12. V. S. Anishchenko, V. V. Astakhov, V. V. Nikolaev, and A. V. Shabunin, Radiotekh. Élektron. (Moscow) 45(2), 196 (2000).

    Google Scholar 

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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 27, No. 11, 2001, pp. 78–85.

Original Russian Text Copyright © 2001 by Shabunin, Demidov, Astakhov, Anishchenko.

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Shabunin, A.V., Demidov, V.V., Astakhov, V.V. et al. The volume of information as a measure of the chaos synchronization. Tech. Phys. Lett. 27, 476–479 (2001). https://doi.org/10.1134/1.1383830

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  • DOI: https://doi.org/10.1134/1.1383830

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