|Table of Contents|

The Comparison for Lyapunov Exponents Calculation Methods(PDF)

南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2012年01期
Page:
5-9
Research Field:
Publishing date:

Info

Title:
The Comparison for Lyapunov Exponents Calculation Methods
Author(s):
Zhang HailongMin FuhongWang Enrong
School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China
Keywords:
Lyapunov exponentsLorenz systemchaos system
PACS:
O415.5
DOI:
-
Abstract:
In this paper,the several computational methods of Lyapunov exponents are compared,i. e. ,the definition method,the orthogonal method,the wolf method and the small data sets. The Lyapunov exponent power and the max- Lyapunov exponent are computed through the above methods for Lorenz system. From the results,the accuracies and the complexity of the above methods are investigated. Furthermore,the max-Lyapunov exponents are also calculated for the chaotic time series including the noise. Finally,numerical results demonstrate that the performances of different computational methods have differences,and some summaries will be presented.

References:

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Last Update: 2013-03-11