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Distributional chaos for continuous mappings of the circle. (English) Zbl 0963.37031

Summary: We show that the theory of distributional chaos for continuous functions on the unit intervals as developed recently by B. Schweizer and J. Smítal [Trans. Am. Math. Soc. 344, No. 2, 737-754 (1994; Zbl 0812.58062)] remains essentially true for continuous mapping of the circle, with natural exceptions.

MSC:

37E05 Dynamical systems involving maps of the interval
26A18 Iteration of real functions in one variable
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior

Citations:

Zbl 0812.58062
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