About conjugacy of simple unimodal dynamical systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.37023
publication date: 2001-11-04T00:00:00Z
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 1668474
zbMATH Keywords: simple unimodal dynamical system
zbMATH Keywords: attractive cycle
zbMATH Keywords: repellent cycle
zbMATH Keywords: conjugacy
MaRDI profile type: Publication
author: T. Yu. Maistrenko
title: About conjugacy of simple unimodal dynamical systems
published in: Methods of Functional Analysis and Topology
review text: The author considers unimodal mappings of the unit interval, such that the period of each cycle is not greater than \(2^n\) and is a divisor of \(2^n\). The number of attractive and repellent cycles of a simple unimodal dynamical system is found. A criterion of topological conjugacy of two such systems is established. This gives a sufficient condition for the isomorphism of the corresponding \(C^*\)-algebras.
reviewed by: Anatoly N. Kochubei
description: scientific article; zbMATH DE number 1668474