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- W2069282904 abstract "IN THIS paper we generalize the method introduced in [6] and use it to prove two results. As for another application of this generalized method which is on the number of periodic points, see [7]. The first result can be described as follows. Let I be a compact real interval and let f E CO(I, r> have a periodic point of minimal period 2n + 1 with integer n > 0. Then there exists a closed subinterval K, of I and, for every positive integer k, there are at least dk,, pairwise disjoint closed subintervals Jikn’s of K,, such that fk(Jlk,) > K,,. Furthermore, these numbers dk., are explicitly determined and have the property that ieX(log d,.,)/k = log &. where A,, is" @default.
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- W2069282904 date "1987-01-01" @default.
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- W2069282904 title "Topological entropy and chaos of interval maps" @default.
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- W2069282904 doi "https://doi.org/10.1016/0362-546x(87)90029-0" @default.
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