Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows
type: Item
instance of: scholarly article
title: Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows
zbMATH Open document ID: 0983.37022
DOI: 10.1016/S0294-1449(00)00111-6
author: Roger Metzger Alvan
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2002-04-23T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78493
review text: This paper deals with the existence of a unique and ergodic absolutely continuous invariant measure for certain one-dimensional Lorenz-like maps. The author constructs a Sinai-Ruelle-Bowen (SRB) measure for the case of such flows and proves that the SRB measure constructed for the flow is unique.
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37D50
zbMATH DE Number: 1471450
zbMATH Keywords: ergodic absolutely continuous measure
zbMATH Keywords: SRB measure
zbMATH Keywords: contracting Lorenz map
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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OpenAlex ID: W2045542726
description: scientific article; zbMATH DE number 1471450