Displaying similar documents to “Kneading sequences of skew tent maps”

Transitive sensitive subsystems for interval maps

Sylvie Ruette (2005)

Studia Mathematica

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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.

The topological entropy versus level sets for interval maps

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?

Entropy-minimality.

Coven, E.M., Smítal, J. (1993)

Acta Mathematica Universitatis Comenianae. New Series

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