Bifurcation rigidity
type: Item
instance of: scholarly article
title: Bifurcation rigidity
zbMATH Open document ID: 0951.37010
DOI: 10.1016/S0167-2789(98)00201-2
author: Brian R. Hunt
author: Jason A. C. Gallas
author: C. Grebogi
author: James A. Yorke
author: Hüseyin Koçak
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: It has been numerically observed that bifurcation diagrams of interval maps are related by a nearly linear change of parameter coordinates. The authors offer an analytic explanation for this phenomenon, based on the computation of rescaled maps. They likewise study two parameter families of interval maps with more than one critical point.
reviewed by: Ale Jan Homburg
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37B10
zbMATH DE Number: 1374333
zbMATH Keywords: bifurcation diagrams
zbMATH Keywords: interval maps
zbMATH Keywords: critical point
MaRDI profile type: Publication
cites work: Scaling of Mandelbrot sets generated by critical point preperiodicity
cites work: Quantitative universality for a class of nonlinear transformations
cites work: The universal metric properties of nonlinear transformations
cites work: THE ROLE OF CODIMENSION IN DYNAMICAL SYSTEMS
cites work: Q3759581
cites work: Scaling symmetries in nonlinear dynamics. A view from parameter space
cites work: TWO-PARAMETER STUDY OF TRANSITION TO CHAOS IN CHUA'S CIRCUIT: RENORMALIZATION GROUP, UNIVERSALITY AND SCALING
cites work: A computer-assisted proof of the Feigenbaum conjectures
cites work: Q4022703
cites work: Wild hyperbolic sets, yet no chance for the coexistence of infinitely many KLUS-simple Newhouse attracting sets
cites work: How often do simple dynamical processes have infinitely many coexisting sinks?
full work available at URL: s0167-2789(98)00201-2
OpenAlex ID: W2913119130
description: scientific article; zbMATH DE number 1374333