Minor cycles for interval maps
Tom 145 / 1994
Fundamenta Mathematicae 145 (1994), 281-304
DOI: 10.4064/fm-145-3-281-304
Streszczenie
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.
