Minor cycles for interval maps
Fundamenta Mathematicae, Tome 145 (1994) no. 3, pp. 281-304
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_fm_145_3_281_304,
author = {Micha{\l} Misiurewicz},
title = {Minor cycles for interval maps},
journal = {Fundamenta Mathematicae},
pages = {281--304},
year = {1994},
volume = {145},
number = {3},
doi = {10.4064/fm-145-3-281-304},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-145-3-281-304/}
}
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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