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International Journal of Computer Mathematics Volume 86, 2009 - Issue 7
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Section B

Chaos in the fractional-order Lorenz system

Xiang-Jun Wu Computing Centre, Henan University, Kaifeng, P. R. ChinaCorrespondence[email protected]
&
Shi-Lei Shen Computing Centre, Henan University, Kaifeng, P. R. China
Pages 1274-1282 | Received 06 Jan 2007, Accepted 21 Nov 2007, Published online: 17 Jun 2009
 
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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.

2000 AMS Subject Classification :

Acknowledgements

The work is supported by the National Natural Science Foundation of China (No. 60573172) and the National High Technology Research and Development Program of China (No. 2007AA012478).

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