Chaos in the fractional-order Lorenz system

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.

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Bibliographic Details
Published in:International journal of computer mathematics 2009-07, Vol.86 (7), p.1274-1282
Main Authors: Wu, Xiang-Jun, Shen, Shi-Lei
Format: Article
Language:English
Subjects:
chaos
Chaos theory
fractional order
Fractions
Lorenz Curve
Lorenz system
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Summary: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160701864426