The computation of Lyapunov exponents via spatial integration with application to blowout bifurcations
type: Item
instance of: scholarly article
title: The computation of Lyapunov exponents via spatial integration with application to blowout bifurcations
zbMATH Open document ID: 0945.65142
DOI: 10.1016/S0045-7825(98)00196-0
author: Michael Dellnitz
author: Philip J. Aston
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-10-05T00:00:00Z
review text: A new method for the numerical approximation of the largest Lyapunov exponent is proposed. This method is based on the computation of a spatial integration with respect to an underlying (natural) invariant measure instead of a long-term simulation of the dynamical system. The paper contains the computation of the invariant measure and the method for determining the largest Lyapunov exponent. It is applied to the Henon map, and to the use of this method for finding a blowout bifurcation of two coupled Duffing oscillators.
Mathematics Subject Classification ID: 65P30
Mathematics Subject Classification ID: 37M25
Mathematics Subject Classification ID: 70K55
zbMATH DE Number: 1399937
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: spatial integration
zbMATH Keywords: invariant measure
zbMATH Keywords: dynamical system
zbMATH Keywords: Henon map
zbMATH Keywords: blowout bifurcation
zbMATH Keywords: Duffing oscillators
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
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Wikidata QID: Q126805879
description: scientific article; zbMATH DE number 1399937