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Chaos in the fractional-order Lorenz system.

Authors :
Wu, Xiang-Jun
Shen, Shi-Lei
Source :
International Journal of Computer Mathematics. Jul2009, Vol. 86 Issue 7, p1274-1282. 9p. 5 Graphs.
Publication Year :
2009

Abstract

In this article, we investigate the chaotic behaviours in the fractional-order Lorenz system. By utilizing the fractional calculus techniques, we found that chaos exists in the fractional-order Lorenz system of order less than 3. The lowest order we found to have chaos in this system is 2.97. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207160
Volume :
86
Issue :
7
Database :
Academic Search Index
Journal :
International Journal of Computer Mathematics
Publication Type :
Academic Journal
Accession number :
41880819
Full Text :
https://doi.org/10.1080/00207160701864426