Geodesic
Minor cycles for interval maps
Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 281-304

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For continuous maps of an interval into itself we consider cycles (periodic orbits) that are non-reducible in the sense that there is no non-trivial partition into blocks of consecutive points permuted by the map. Among them we identify the miror ones. They are those whose existence does not imply existence of other non-reducible cycles of the same period. Moreover, we find minor patterns of a given period with minimal entropy. 
Michał Misiurewicz. Minor cycles for interval maps. Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 281-304. doi: 10.4064/fm-145-3-281-304
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