Topological Sequence Entropy and Chaos of Star Maps*
نویسنده
چکیده
Let Xn = {z ∈ C : z n ∈ [0, 1]}, n ∈ N, and let f : Xn → Xn be a continuous map such that f(0) = 0. In this paper we prove that f is chaotic in the sense of Li–Yorke iff there is a strictly increasing sequence of positive integers A such that the topological sequence entropy of f relative to A is positive.
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