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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.
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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).