𝜔-chaos and topological entropy-Reference-Cited by-同舟云学术

𝜔-chaos and topological entropy

Published:1993 Issue:1 Volume:339 Page:243-249
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Li Shi Hai

Abstract

We present a new concept of chaos, ω \omega -chaos, and prove some properties of ω \omega -chaos. Then we prove that ω \omega -chaos is equivalent to positive entropy on the interval. We also prove that ω \omega -chaos is equivalent to the definition of chaos given by Devaney on the interval.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-339-01/S0002-9947-1993-1108612-8/S0002-9947-1993-1108612-8.pdf

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5. W. A. Coppel, Continuous maps of an interval, Lecture Notes, IMA Preprint Series #26, Minneapolis, Minn., 1983.

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