Entropy of transformations of the unit interval
Anna Zdunik (1984)
Fundamenta Mathematicae
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Anna Zdunik (1984)
Fundamenta Mathematicae
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Victor Jiménez López, Jose Salvador Cánovas Peña (2002)
Annales de l’institut Fourier
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Let denote the family of continuous maps from an interval into itself such that (1) ; (2) they consist of two monotone pieces; and (3) they have periodic points of periods exactly all powers of . The main aim of this paper is to compute explicitly the topological sequence entropy of any map respect to the sequence .
M. Misiurewicz, E. Visinescu (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Louis Block, Ethan M. Coven (1989)
Banach Center Publications
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Francisco Balibrea, Jose Salvador Cánovas Peña, Víctor Jiménez López (1999)
Annales de l'institut Fourier
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In this paper we study the commutativity property for topological sequence entropy. We prove that if is a compact metric space and are continuous maps then for every increasing sequence if , and construct a counterexample for the general case. In the interim, we also show that the equality is true if but does not necessarily hold if is an arbitrary compact metric space.
Lluis Alsedà, J. Llibre, M. Misiurewicz, C. Tresser (1989)
Annales de l'institut Fourier
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We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.
Cánovas, Jose S., Medina, David López (2010)
Discrete Dynamics in Nature and Society
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Cánovas, J.S. (2003)
Mathematica Pannonica
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