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.
@article{bwmeta1.element.bwnjournal-article-fmv145i3p281bwm, author = {Micha\l\ Misiurewicz}, title = {Minor cycles for interval maps}, journal = {Fundamenta Mathematicae}, volume = {144}, year = {1994}, pages = {281-304}, zbl = {0818.58014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv145i3p281bwm} }
Misiurewicz, Michał. Minor cycles for interval maps. Fundamenta Mathematicae, Tome 144 (1994) pp. 281-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv145i3p281bwm/
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