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Lower bound for the entropy of a smooth dynamical system

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Literature Cited

  1. 1.

    M. W. Hirsh, C. C. Pugh, and M. Shub, Bull. Amer. Math. Soc.,76, No. 5, 1015–1019 (1970).

  2. 2.

    D. V. Anosov, Trudy Matem. Inst. Akad. Nauk SSSR,90 (1967).

  3. 3.

    D. V. Anosov and Ya. G. Sinai, Usp. Matem. Nauk,22, No. 4, 107–172 (1967).

  4. 4.

    M. I. Brin and Ya. B. Pesin, Usp. Matem. Nauk,30, No. 3, 169–170 (1973).

  5. 5.

    B. F. Bylov, R. É. Vinograd, D. M. Grobman, and V. V. Nemytskii, Theory of Lyapunov Exponents and Its Applications to Stability Problems [in Russian], Nauka, Moscow (1966).

  6. 6.

    V. I. Oseledets, Trudy Mosk. Matem. Obshch.,19, 179–210 (1968).

  7. 7.

    V. A. Rokhlin, Usp. Matem. Nauk,22, No. 5, 3–56 (1967).

  8. 8.

    Ya. G. Sinai, Izv. Akad. Nauk SSSR, Ser. Matem.,30, 15–68 (1966).

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Additional information

Economics Scientific-Research Institute, State Planning Commission of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 8, No. 3, pp. 71–72, July–September, 1974.

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Brin, M.I. Lower bound for the entropy of a smooth dynamical system. Funct Anal Its Appl 8, 251–253 (1974). https://doi.org/10.1007/BF01075699

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  • Dynamical System
  • Functional Analysis
  • Smooth Dynamical System