On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems
type: Item
instance of: scholarly article
title: On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems
zbMATH Open document ID: 0934.37048
DOI: 10.1016/S0960-0779(97)00146-X
author: Ioannis Andreadis
author: John Argyris
published in: Chaos, Solitons and Fractals
publication date: 2000-04-25T00:00:00Z
review text: This paper deals with an answer to the conjecture proposed by \textit{J. Argyris, I. Andreadis, Cs. Pavlos} and \textit{M. Athanasiou} [ibid. 9, 343-361 (1998; Zbl 0933.37045)]. The authors present a mathematical analysis of the influence of noise to the largest Lyapunov exponent for a stochastic dynamical system. Then extend the results of Argyris, et al. to the case of an additive output noise, either in a discrete or a continuous in time formulation. The authors are going to consider the influence of the multiplicative noise in a forthcoming publication.
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1370431
zbMATH Keywords: largest Lyapunov exponent
zbMATH Keywords: stochastic dynamical system
zbMATH Keywords: multiplicative noise
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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Wikidata QID: Q127909024
description: scientific article; zbMATH DE number 1370431