Attractors and characteristic exponents
type: Item
instance of: scholarly article
title: Attractors and characteristic exponents
zbMATH Open document ID: 0707.58028
DOI: 10.1007/BF01014216
author: César R. de Oliveira
published in: Journal of Statistical Physics
publication date: 1988-01-01T00:00:00Z
review text: An attractor is defined as an invariant measure such that the attracting set has positive volume. This notion is discussed in the context of Milnor's definition of an attractor. Also, for an attractor, a condition on characteristic exponents detects ergodicity and an asymptotic stable periodic orbit as support.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 4161721
zbMATH Keywords: invariant measure
zbMATH Keywords: axiom A diffeomorphism
zbMATH Keywords: ergodicity
zbMATH Keywords: flow
zbMATH Keywords: asymptotic stable periodic orbit
reviewed by: Dieter Erle
MaRDI profile type: Publication
cites work: Equilibrium states and the ergodic theory of Anosov diffeomorphisms
cites work: Two remarks on the computer study of differentiable dynamical systems
cites work: Ergodic theory of chaos and strange attractors
cites work: On the concept of attractor
cites work: Q3264374
full work available at URL: https://doi.org/10.1007/bf01014216
OpenAlex ID: W2168154219
description: scientific article; zbMATH DE number 4161721