On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors
type: Item
instance of: scholarly article
title: On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors
zbMATH Open document ID: 0934.37047
DOI: 10.1016/S0960-0779(97)00145-8
author: Ioannis Andreadis
author: Georgios Pavlos
author: Michalis Athanasiou
author: John Argyris
published in: Chaos, Solitons and Fractals
publication date: 2000-04-25T00:00:00Z
review text: The authors study the influence of noise on the correlation dimension, the largest Lyapunov exponent and the geometric structure of chaotic attractors arising in dynamical systems, in particular the authors illustrate their ideas for the Hénon and Lorenz attractors. The authors' concept is based on the choice of a model providing informations on a time series with a finite correlation dimension.
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1370430
zbMATH Keywords: Hénon attractors
zbMATH Keywords: correlation dimension
zbMATH Keywords: largest Lyapunov exponent
zbMATH Keywords: chaotic attractors
zbMATH Keywords: Lorenz attractors
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370430