A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
Katarína Janková, Jaroslav Smítal (1989)
Mathematica Slovaca
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Displaying similar documents to “Structure of mappings of an interval with zero entropy”
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A counterexample to a statement concerning Lyapunov stability.
Šindelářová, P. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Periods and entropy for Lorenz-like maps
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.
The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero
J. M. Gambaudo, S. Van Strien, C. Tresser (1989)
Annales de l'I.H.P. Physique théorique
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Approximating entropy of maps of the interval
Louis Block, Ethan M. Coven (1989)
Banach Center Publications
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Entropy of transformations of the unit interval
Anna Zdunik (1984)
Fundamenta Mathematicae
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Jumps of entropy in one dimension
Michał Misiurewicz (1989)
Fundamenta Mathematicae
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Inverse limits on intervals using unimodal bonding maps having only periodic points whose periods are all the powers of two
W. Ingram, Robert Roe (1999)
Colloquium Mathematicae
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We derive several properties of unimodal maps having only periodic points whose period is a power of 2. We then consider inverse limits on intervals using a single strongly unimodal bonding map having periodic points whose only periods are all the powers of 2. One such mapping is the logistic map, = 4λx(1-x) on [f(λ),λ], at the Feigenbaum limit, λ ≈ 0.89249. It is known that this map produces an hereditarily decomposable inverse limit with only three topologically different subcontinua....