On the symmetry-breaking bifurcation of chaotic attractors
type: Item
instance of: scholarly article
title: On the symmetry-breaking bifurcation of chaotic attractors
zbMATH Open document ID: 0667.58047
DOI: 10.1007/BF01019782
author: K. G. Szabó
author: T. Tél
published in: Journal of Statistical Physics
publication date: 1989-01-01T00:00:00Z
review text: A new type of crisis is shown to exist in a broad class of systems (including the Lorenz model) which leads to an anomalous band splitting or to a symmetry-breaking bifurcation of the strange attractor, depending on the actual values of the control parameters. A piecewise linear model is used to understand the mechanism of this crisis and to obtain exact results.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 4092420
zbMATH Keywords: chaos
zbMATH Keywords: piecewise linear map
zbMATH Keywords: band splitting
zbMATH Keywords: symmetry-breaking
zbMATH Keywords: strange attractor
zbMATH Keywords: crisis
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01019782
OpenAlex ID: W178035926
description: scientific article; zbMATH DE number 4092420