Positive Measure Scrambled Sets of Some Chaotic Functions

DOI10.1142/S0218127418500529zbMath1390.37019OpenAlexW2800682841MaRDI QIDQ4643616

Ashvin Varada Rajan

Publication date: 25 May 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418500529

zbMATH Keywords

Lebesgue measureLi-Yorke chaosscrambled set

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

LI–YORKE CHAOS ALMOST EVERYWHERE: ON THE PERVASIVENESS OF DISJOINT EXTREMALLY SCRAMBLED SETS ⋮ Cardinalities of scrambled sets and positive scrambled sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• One-dimensional dynamics in the new millennium
• Chaos in \(C^ 0-\)endomorphism of interval
• Iterates of piecewise monotone mappings on an interval
• Chaos on the Interval
• A Chaotic Function with Some Extremal Properties
• Are chaotic functions really chaotic
• A Chaotic Function Possessing a Scrambled Set with Positive Lebesgue Measure
• A Chaotic Function with a Scrambled Set of Positive Lebesgue Measure
• Continuous chaotic functions of an interval have generically small scrambled sets
• There are no chaotic mappings with residual scrambled sets
• Piecewise Linear Functions with Almost All Points Eventually Periodic
• Period Three Implies Chaos
• Simple mathematical models with very complicated dynamics

This page was built for publication: Positive Measure Scrambled Sets of Some Chaotic Functions