The trajectory of the turning point is dense for almost all tent maps-Reference-Cited by-同舟云学术

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The trajectory of the turning point is dense for almost all tent maps

Published:1996-12 Issue:6 Volume:16 Page:1173-1183
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Brucks Karen,Misiurewicz Michal

Abstract

AbstractWe prove that for almost every (with respect to the Lebesgue measure) a ∈ [√2, 2], the forward trajectory of the turning point of the tent map fa with slope a is dense in the interval of transitivity of fa.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

2. Pseudo-orbit shadowing in the family of tent maps

3. On the existence of invariant measures for piecewise monotonic transformations

4. Entropy of piecewise monotone mappings

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1. On co-σ-porosity of the parameters with dense critical orbits for skew tent maps and matching on generalised β-transformations;Indagationes Mathematicae;2021-11

2. The bifurcation set as a topological invariant for one-dimensional dynamics;Nonlinearity;2021-02-18

3. On fair entropy of the tent family;Discrete & Continuous Dynamical Systems;2021

4. Diabolical Entropy;Communications in Mathematical Physics;2019-02

5. Bibliography;Lozi Mappings;2013-08

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