Adding machines and wild attractors

Bruin HP, Keller G, St. Pierre M (1997)


Publication Type: Journal article, Original article

Publication year: 1997

Journal

Publisher: Cambridge University Press (CUP)

Book Volume: 17

Pages Range: 1267-1287

Journal Issue: 6

DOI: 10.1017/S0143385797086392

Abstract

We investigate the dynamics of unimodal maps $f$ of the interval restrictedto the omega limit set $X$ of the critical point for cases where $X$ is aCantor set. In particular, many cases where $X$ isa measure attractor of $f$ are included. We give two classes of examples ofsuch maps, both generalizing unimodal Fibonacci maps [LM,BKNS]. In allcases $f_{|X}$ is a continuous factor of a generalized odometer (an addingmachine-like dynamical system), and at the same time $f_{|X}$ factors ontoan irrational circle rotation. In some of the examples we obtain irrationalrotations on more complicated groups as factors.

Authors with CRIS profile

How to cite

APA:

Bruin, H.P., Keller, G., & St. Pierre, M. (1997). Adding machines and wild attractors. Ergodic Theory and Dynamical Systems, 17(6), 1267-1287. https://doi.org/10.1017/S0143385797086392

MLA:

Bruin, Hendrik Pieter, Gerhard Keller, and Matthias St. Pierre. "Adding machines and wild attractors." Ergodic Theory and Dynamical Systems 17.6 (1997): 1267-1287.

BibTeX: Download