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On the structure of a stable (In the Lyapunov sense) attractor

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References

  1. A. M. Lyapunov, General Problem of Stability of Motion (Gostekhizdat, Moscow, Leningrad, 1950).

    Google Scholar 

  2. V. V. Rumyantsev, Differ. Uravn. 19, 739 (1983).

    MATH  MathSciNet  Google Scholar 

  3. N. G. Chetaev, Stability of Motion (GITTL, Moscow, 1955).

    Google Scholar 

  4. G. Alland and E. S. Thomas, J. Differ. Equat. 15, 158 (1974).

    Google Scholar 

  5. Z. Nitecki, Differentiable Dynamics. An Introduction to the Orbit Structure of Diffeomorphism (MIT Press, Cambridge, 1971).

    Google Scholar 

  6. D. Ruelle and F. Takens, Comment. Math. Phys. 20, 167 (1971).

    MathSciNet  Google Scholar 

  7. A. A. Markoff, Math. Zeitschr. 36, 708 (1933).

    Article  MATH  MathSciNet  Google Scholar 

  8. V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations (Gostekhizdat, Moscow, 1947; Princeton University Press, Princeton, 1960).

    Google Scholar 

  9. L. S. Pontryagin, Collected Papers. Continuous Groups (Nauka, Moscow, 1988), Vol. 3.

    Google Scholar 

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Translated from Doklady Akademii Nauk, Vol. 371, No. 6, 2000, pp. 770–772.

Original Russian Text Copyright © 2000 by Druzhinina, Shestakov.

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Druzhinina, O.V., Shestakov, A.A. On the structure of a stable (In the Lyapunov sense) attractor. Dokl. Phys. 45, 183–185 (2000). https://doi.org/10.1134/1.171737

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