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C∞-mappings of an interval with attracting cycles of arbitrarily large periods

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. P. Montel, Familles Normales, Chelsea Publ. (1974).

  2. A. N. Sharovskii, “Cycles and the structure of a continuous map of the line into itself,” Ukr. Mat. Zh.,17, No. 3, 104–112 (1965).

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  3. E. M. Coven and Z. Nitecki, “Nonwandering sets of the powers of maps of the interval,” Ergodic Theory and Dynamical Systems,1, No. 1, 9–31 (1981).

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  4. G. R. Hall, “A C∞ Denjoy counterexample,” Ergodic Theory and Dynamical Systems,1, No. 3, 261–272 (1981).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    A. N. Sharkovskii & A. F. Ivanov

Authors
  1. A. N. Sharkovskii
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  2. A. F. Ivanov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 537–539, July–August, 1983.

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Sharkovskii, A.N., Ivanov, A.F. C∞-mappings of an interval with attracting cycles of arbitrarily large periods. Ukr Math J 35, 455–458 (1983). https://doi.org/10.1007/BF01093104

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  • DOI: https://doi.org/10.1007/BF01093104

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