Quadratic regular reversal maps
type: Item
instance of: scholarly article
title: Quadratic regular reversal maps
zbMATH Open document ID: 1077.37029
DOI: 10.1155/S1026022604311015
author: Francisco J. Solis
author: L. Jódar
published in: Discrete Dynamics in Nature and Society
publication date: 2005-04-22T00:00:00Z
full work available at URL: https://eudml.org/doc/125385
review text: This paper studies how one-parameter families of unimodal maps depend on the parameter, for example when period doubling holds and when it disappears. Several examples are given where a perturbation may or may not destroy the chaotic behavior. To do this the authors introduce the notion of regular reversal map. In studying quadratic regular reversal maps, the authors find sufficient conditions for a map to only have periodic points with periods being powers of 2. The examples show that by considering families of regular reversal maps, it is straightforward to construct specific bifurcation diagrams with or without chaos.
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 65P30
zbMATH DE Number: 2160818
zbMATH Keywords: unimodal map
zbMATH Keywords: period doubling
zbMATH Keywords: chaos
zbMATH Keywords: bifurcation diagram
reviewed by: Steve Pederson
MaRDI profile type: Publication
OpenAlex ID: W2091168562
description: scientific article; zbMATH DE number 2160818