DOI QR코드

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WEAK MEASURE EXPANSIVENESS AND CHAOTIC SYSTEMS

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • 투고 : 2019.06.07
  • 심사 : 2019.10.22
  • 발행 : 2019.11.15

초록

In this article, we consider that if a continuous map f : X → X of a compact metric space X is Li-York chaotic then it is positively weak measure expansive.

키워드

참고문헌

  1. J. Ahn and S. Kim, Stability of weak measure expansive diffeomorphisms, J. Korean Math. Soc., 55 (2018), 1131-1142. https://doi.org/10.4134/JKMS.J170607
  2. J. Ahn and M. Lee, Positively weak measure expansiveness for C1 differentiable maps, preprint.
  3. F. Blanchard, W. Huang, and L. Snoha, Topological size of scrambled sets, Colloq. Math., 110 (2008), 293-361. https://doi.org/10.4064/cm110-2-3
  4. R. L. Devaney, An introduction to chaotic dynamical systems. Redwood City: Addison-Wesley, 1989.
  5. T. Y. Li and J. A. Yorke, Period three implies chaos, Amer. Math. Monthly, 82 (1975), 985-992. https://doi.org/10.1080/00029890.1975.11994008
  6. C. A. Morales and V. F. Sirvent, Expansive measures, 29 Coloquio Brasileiro de Matematica, 2013.
  7. K. R. Parthasarathy, R. R. Ranga, and S. R. S. Varadhan, On the category of indecomposable distributions on topological groups, Tran. Amer. Math. Soc., 102 (1962), 200-217. https://doi.org/10.1090/S0002-9947-1962-0153041-7