On the Use of Interval Extensions to Estimate the Largest Lyapunov Exponent from Chaotic Data

A method to estimate the (positive) largest Lyapunov exponent (LLE) from data using interval extensions is proposed. The method differs from the ones available in the literature in its simplicity since it is only based on three rather simple steps. Firstly, a polynomial NARMAX is used to identify a...

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Bibliographic Details
Main Authors: Erivelton G. Nepomuceno, Samir A. M. Martins, Márcio J. Lacerda, Eduardo M. A. M. Mendes
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/6909151