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- W2023451854 abstract "Let f :X → X be a continuous map defined from a topological space X into itself. We discuss the problem of analyzing and computing explicitly the set Per(f p ) of periods of the p -th iterate f p from the knowledge of the set Per(f ) of periods of f . In the case of interval or circle maps, that is, X = [0,1] or X = S1 , this question was solved in [11]. Now, we present some remarks and advances concerning the set Per(f p ) for a continuous interval map, and on the other hand we study and solve the problem when we consider σ -permutation maps, namely, when X = [0,1] k for some integer k ≥ 2 and the map has the form F (x 1 ,x 2 ,... ,x k ) = (f σ (1) (x σ (1) ),f σ (2) (x σ (2) ),... ,f σ (k ) (x σ (k ) )), being each f j a continuous interval map and σ a cyclic permutation of {1,2,... ,k }. This paper can be seen as the continuation of [11]." @default.
- W2023451854 created "2016-06-24" @default.
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- W2023451854 date "2014-11-01" @default.
- W2023451854 modified "2023-10-03" @default.
- W2023451854 title "A note on periods of powers" @default.
- W2023451854 doi "https://doi.org/10.1051/proc/201446011" @default.
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