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Zbl 1198.37063
Yu, Yongguang; Li, Han-Xiong; Wang, Sha; Yu, Junzhi
Dynamic analysis of a fractional-order Lorenz chaotic system. (English)
[J] Chaos Solitons Fractals 42, No. 2, 1181-1189 (2009). ISSN 0960-0779

Summary: The dynamic behaviors of fractional-order differential systems have received increasing attention in recent decades. But many results about fractional-order chaotic systems are attained only by using analytic and numerical methods. Based on the qualitative theory, the existence and uniqueness of solutions for a class of fractional-order Lorenz chaotic systems are investigated theoretically in this paper. The stability of the corresponding equilibria is also argued similarly to the integer-order counterpart. According to the obtained results, the bifurcation conditions of these two systems are significantly different. Numerical solutions, together with simulations, finally verify the correctness of our analysis. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34A08

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