Chaotic attractors near forbidden symmetry
type: Item
instance of: scholarly article
title: Chaotic attractors near forbidden symmetry
zbMATH Open document ID: 0954.37020
DOI: 10.1016/S0960-0779(99)00038-7
author: Jeffrey P. Dumont
author: Clifford A. Reiter
published in: Chaos, Solitons and Fractals
publication date: 2001-02-15T00:00:00Z
review text: The authors deal with attractors with planar crystallographic symmetry that contain patterns with rotation symmetry. As a result they present a visual representation of patterns which have low symmetry type but with interesting structures. Note that a construction of the authors allows them to include local rotation that is forbidden from being global by classical crystallographic theory.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 1507125
zbMATH Keywords: chaotic attractor
zbMATH Keywords: attractors with planar crystallographic symmetry
zbMATH Keywords: rotation symmetry
zbMATH Keywords: local rotation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Symmetric attractors in three-dimensional space.
cites work: Chaotic attractors with discrete planar symmetries
cites work: \(n\)-dimensional chaotic attractors with crystallographic symmetry
cites work: Penrose universe and Cantorian spacetime as a model for noncommutative quantum geometry
cites work: Von Neumann geometry and \({\mathcal E}^{(\infty)}\) quantum spacetime.
cites work: Forbidden symmetries, Cantor sets and hypothetical graphite
cites work: Q4023703
cites work: Q3735714
cites work: Q5362971
cites work: Attractors with the Symmetry of the n-Cube
cites work: Q3997392
cites work: Weak Chaos and Quasi-Regular Patterns
full work available at URL: s0960-0779(99)00038-7
OpenAlex ID: W1994663253
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description: scientific article; zbMATH DE number 1507125