A chaotic function with a distributively scrambled set of full Lebesgue measure

DOI10.1016/j.na.2006.03.018zbMath1118.28010OpenAlexW2038891117MaRDI QIDQ876936

Xiaodong Duan, Lidong Wang, Gongfu Liao

Publication date: 19 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.018

zbMATH Keywords

chaotic map

Mathematics Subject Classification ID

Related Items (13)

Constant-length substitution systems and countable distributionally scrambled sets ⋮ Substitution systems and the three versions of distributional chaos ⋮ Mixing invariant extremal distributional chaos ⋮ COMPACT SYSTEMS WITH DC3 PAIRS ⋮ Distributional chaos in constant-length substitution systems ⋮ Relations between mixing and distributional chaos ⋮ Some dynamical properties for linear operators ⋮ Dense invariant open distributionally scrambled sets and closed distributionally scrambled sets ⋮ Specification property and distributional chaos almost everywhere ⋮ Chaos for Cowen-Douglas operators ⋮ A weakly mixing dynamical system with the whole space being a transitive extremal distributionally scrambled set ⋮ A note on the map with the whole space being a scrambled set ⋮ On the measure of scrambled sets of tree maps with zero topological entropy

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• Dynamics of homeomorphisms on minimal sets generated by triangular mappings
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