$\omega$-chaos and topological entropy
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- by Shi Hai Li
- Trans. Amer. Math. Soc. 339 (1993), 243-249
- DOI: https://doi.org/10.1090/S0002-9947-1993-1108612-8
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Abstract:
We present a new concept of chaos, $\omega$-chaos, and prove some properties of $\omega$-chaos. Then we prove that $\omega$-chaos is equivalent to positive entropy on the interval. We also prove that $\omega$-chaos is equivalent to the definition of chaos given by Devaney on the interval.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 339 (1993), 243-249
- MSC: Primary 58F13; Secondary 58F08
- DOI: https://doi.org/10.1090/S0002-9947-1993-1108612-8
- MathSciNet review: 1108612