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Zbl 1169.65115
Wu, Xiang-Jun; Shen, Shi-Lei
Chaos in the fractional-order Lorenz system. (English)
[J] Int. J. Comput. Math. 86, No. 7, 1274-1282 (2009). ISSN 0020-7160; ISSN 1029-0265/e

Summary: We investigate the chaotic behaviours in the fractional-order Lorenz system. By utilizing the fractional calculus techniques, we find 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.

MSC 2000:: *65P20 Numerical chaos
34L30 Nonlinear ordinary differential operators
49M05 Methods of successive approximation based on necessary conditions
65E05 Numerical methods in complex analysis
68W25 Approximation algorithms
90C59 Approximation methods and heuristics

Keywords: fractional order; Lorenz system; chaos

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Zentralblatt MATH Berlin [Germany]