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Chaotic synchronization as an information process

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Radiophysics and Quantum Electronics Aims and scope

Abstract

The chaotic synchronization phenomenon is studied from the information point of view. Synchronization of a chaos receiver by a chaos source is considered as copy recovery of the chaotic signal transmitted by the source. The main idea of this paper is to show that the necessary condition of chaotic synchronization is not the level of physical action of one system on another but the transmission of a certain volume of information on the chaotic process and, therefore, the capacity of the “communication channel” between the source and the receiver.

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References

  1. K. Shannon, in:Studies in Information Theory and Cybernetics [Russian translation], IL, Moscow (1963).

    Google Scholar 

  2. A. S. Dmitriev, S. O. Starkov, M. E. Shirokov, Preprint No. 9 (609) [in Russian], IRE RAS Press, Moscow (1995).

  3. A. S. Dmitriev, S. O. Starkov, and M. E. Shirokov,Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam.,4, Nos. 4 and 5, 40 (1996).

    Google Scholar 

  4. A. S. Dmitriev, M. E. Shirokov, and S. O. Starkov,IEEE Trans. Circuit Syst. Instrum,44, No. 10, 918 (1997).

    Article  Google Scholar 

  5. R. Bowen,Methods of Symbolic Dynamics, Springer-Verlag, Berlin-New York (1975).

    Google Scholar 

  6. V. A. Alekseev and M. V. Yakobson, in: R. Bowen, ed.,Methods of Symbolic Dynamics, Springer-Verlag, Berlin-New York (1975).

    Google Scholar 

  7. I. P. Korpfeld and Ya. G. Sinai, in:Modern Problems in Mathematics [in Russian], VINITI Press, Moscow (1985), Vol. 2, p. 44.

    Google Scholar 

  8. D. Ornstein,Ergodic Theory, Randomness, and Dynamical Systems, Yale University Press, New Haven-London (1974).

    MATH  Google Scholar 

  9. P. Billingsley,Ergodic Theory and Information [Russian translation], Mir, Moscow (1969).

    MATH  Google Scholar 

  10. J.-P. Eckmann and D. Ruelle,Rev. Mod. Phys.,57, No. 3, pt. 1, 617 (1985).

    Article  ADS  Google Scholar 

  11. J. Guckenheimer and P. Holms,Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields: Applied Mathematical Sciences, Springer, New York (1986), 2nd edition, Vol. 42.

    Google Scholar 

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Authors
  1. A. S. Dmitriev
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Additional information

Institute of Radioengineering and Electronics of the Russian Academy of Sciences, Moscow, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 12, pp. 1497–1509, December, 1998.

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Dmitriev, A.S. Chaotic synchronization as an information process. Radiophys Quantum Electron 41, 1013–1021 (1998). https://doi.org/10.1007/BF02676495

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  • DOI: https://doi.org/10.1007/BF02676495

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