Monotonicity properties of some skew tent maps
J. C. Marcuard, E. Visinescu (1992)
Annales de l'I.H.P. Probabilités et statistiques
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J. C. Marcuard, E. Visinescu (1992)
Annales de l'I.H.P. Probabilités et statistiques
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Anna Zdunik (1984)
Fundamenta Mathematicae
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Michał Misiurewicz (1989)
Fundamenta Mathematicae
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Sylvie Ruette (2005)
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We prove that for continuous interval maps the existence of a non-empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li-Yorke, and we exhibit examples showing that these three notions are distinct.
Jozef Bobok (2002)
Studia Mathematica
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We answer affirmatively Coven's question [PC]: Suppose f: I → I is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of f is greater than or equal to log 2?
Louis Block, Ethan M. Coven (1989)
Banach Center Publications
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Alsedà, Ll., Mañosas, F. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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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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Coven, E.M., Smítal, J. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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