Chaotic knots and wild dynamics
type: Item
instance of: scholarly article
title: Chaotic knots and wild dynamics
zbMATH Open document ID: 0944.57006
DOI: 10.1016/S0960-0779(97)00094-5
author: Robert Ghrist
published in: Chaos, Solitons and Fractals
publication date: 1999-11-25T00:00:00Z
review text: This well written and instructive report without proofs surveys the connections between knot theory and continuous dynamical systems in three (or four) dimensions. The periodic orbits of the latter form a possibly infinite link in space. We are guided through numerous examples to the highlights of present knowledge, e.g. that there is a dynamical system in 3-space that carries all link types as periodic orbits. A dozen commented questions at the end are meant to stimulate investigations in this relatively new field where many problems remain to be solved.
reviewed by: Dieter Erle
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37B40
zbMATH DE Number: 1370403
zbMATH Keywords: flow
zbMATH Keywords: periodic orbit
zbMATH Keywords: Lorenz attractor
zbMATH Keywords: entropy
zbMATH Keywords: template
zbMATH Keywords: bifurcation
zbMATH Keywords: invariant torus
zbMATH Keywords: link
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370403