Maps of the interval Ljapunov stable on the set of nonwandering points.
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Fedorenko, V.V., Smítal, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
Richard Hill, Sanju L. Velani (1997)
Publications Mathématiques de l'IHÉS
Michał Misiurewicz (1994)
Fundamenta Mathematicae
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.
J. C. Marcuard, E. Visinescu (1992)
Annales de l'I.H.P. Probabilités et statistiques
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