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Spatially uniform autowave processes: Global synchronization in systems with transfer and diffusion

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Abstract

We study spatially uniform autowave processes in a generalized model of an active medium. These processes are interpreted as global synchronization in a chain of discrete dynamic systems, which is a discrete analog of a distributed system. We obtain sufficient conditions of global synchronization for different coupling types. Analytical results are illustrated by a numerical experiment carried out for a chain of circuits with individual chaotic dynamics.

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References

  1. Autowave Processes in Systems with Diffusion, Collection of Scientific Proceedings, Inst. Appl. Phys. Acad. Sci. USSR, Gor'kii (1981).

  2. A. N. Kolmogorov, I. E. Petrovskii, and N. S. Piskunov, in:Problems of Cybernetics, No. 12 [in Russian], Acad. Sci. USSR, Moscow (1975), p. 3.

    Google Scholar 

  3. R. Fitz Hugh, “Impulses and physiological states in theoretical models of nerve membrane,”Biophys. J., No. 1, 445 (1961).

    Google Scholar 

  4. L. O. Chua, M. Komuro, and T. Matsumoto, “The double scroll family,”IEEE Trans, Circuits Syst.,CAS-33, 1073 (1986).

    Google Scholar 

  5. V. N. Belykh, N. N. Verichev, L. J. Kocarev, and L. O. Chua,J. Circuits. Syst. Comput.,3, No. 2, 579 (1993).

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Authors and Affiliations

  1. Upper-Volga State Academy of Water Transport, Nizhniy Novgorod

    V. N. Belykh & N. N. Verichev

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  1. V. N. Belykh
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  2. N. N. Verichev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 5, pp. 588–596, May, 1996.

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Belykh, V.N., Verichev, N.N. Spatially uniform autowave processes: Global synchronization in systems with transfer and diffusion. Radiophys Quantum Electron 39, 392–397 (1996). https://doi.org/10.1007/BF02124695

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  • DOI: https://doi.org/10.1007/BF02124695

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