Large chaos in smooth functions of zero topological entropy

DOI10.1017/S0004972700011898zbMath0758.26004OpenAlexW2114777302MaRDI QIDQ3993952

Víctor Jiménez Lopéz

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011898

zbMATH Keywords

chaostopological entropyfunctions with scrambled sets of positive Lebesgue measure

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) (C^infty)-functions, quasi-analytic functions (26E10) Iteration of real functions in one variable (26A18)

Related Items (5)

Computing explicitly topological sequence entropy: the unimodal case ⋮ Cardinalities of scrambled sets and positive scrambled sets ⋮ On the Lebesgue measure of Li-Yorke pairs for interval maps ⋮ Asymptotical periodicity for analytic triangular maps of type less than \(2^\infty \) ⋮ Scrambled sets of continuous maps of 1-dimensional polyhedra

Cites Work

• The periodic points of maps of the disk and the interval
• Smooth chaotic maps with zero topological entropy
• A Chaotic Function Possessing a Scrambled Set with Positive Lebesgue Measure
• A Chaotic Function with a Scrambled Set of Positive Lebesgue Measure
• Chaotic Functions with Zero Topological Entropy
• On Scrambled Sets for Chaotic Functions
• Period Three Implies Chaos
• Topological Entropy

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