Chaotic attractors with discrete planar symmetries
type: Item
instance of: scholarly article
title: Chaotic attractors with discrete planar symmetries
zbMATH Open document ID: 0934.37032
DOI: 10.1016/S0960-0779(97)00157-4
author: Nathan C. Carter
author: Richard L. Eagles
author: Stephen M. Grimes
author: Andrew C. Hahn
author: Clifford A. Reiter
published in: Chaos, Solitons and Fractals
publication date: 2000-04-25T00:00:00Z
review text: In contrast to earlier investigations for determining families of equivariant functions for a few of the discrete symmetry groups in the plane, the authors present a method which allows to create chaotic attractors that are forced to have any of the discrete symmetry groups of the plane. This is based on choosing a family of maps in the plane, randomly choosing the coefficients for the terms as parameters and testing whether the Lyapunov exponent provides chaotic behaviour. Images of these attractors often have a striking appearance when the Lyapunov exponent is positive and thus allows the construction of nice examples.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 1370397
zbMATH Keywords: equivariant functions
zbMATH Keywords: discrete symmetry groups
zbMATH Keywords: chaotic attractors
zbMATH Keywords: Lyapunov exponent
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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Wikidata QID: Q128132109
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description: scientific article; zbMATH DE number 1370397