Simple periodic orbits of mappings of the initial

Block, Louis

doi:10.1090/S0002-9947-1979-0539925-9

Simple periodic orbits of mappings of the initial
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Trans. Amer. Math. Soc. 254 (1979), 391-398 Request permission

Abstract:

Let f be a continuous map of a closed, bounded interval into itself. A criterion is given to determine whether or not f has a periodic point whose period is not a power of 2, which just depends on the periodic orbits of f whose period is a power of 2. Also, a lower bound for the topological entropy of f is obtained.

References

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