Sequence of global period doubling bifurcation in the Hénon maps
type: Item
instance of: scholarly article
title: Sequence of global period doubling bifurcation in the Hénon maps
zbMATH Open document ID: 1020.37032
DOI: 10.1016/S0960-0779(01)00183-7
author: R. Smith
published in: Chaos, Solitons and Fractals
publication date: 2002-08-18T00:00:00Z
review text: The paper presents a mainly numerically based investigation of the Hénon map \(h(x,y)=(by+1-ax^2,x)\) for \(b=\pm 1\) in dependence on~\(a\), observing several parameter values where a period doubling bifurcation occurs.
reviewed by: Hans Crauel
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37M20
Mathematics Subject Classification ID: 37E99
zbMATH DE Number: 1783198
zbMATH Keywords: Hénon map
zbMATH Keywords: period doubling bifurcation
zbMATH Keywords: power law scaling
MaRDI profile type: Publication
cites work: Q4220588
cites work: Universal behaviour in families of area-preserving maps
cites work: Period doubling bifurcations and universality in conservative systems
full work available at URL: s0960-0779(01)00183-7
OpenAlex ID: W2026198784
description: scientific article; zbMATH DE number 1783198