Dynamic analysis of a fractional-order Lorenz chaotic system

Yongguang Yu, Han-Xiong Li, Sha Wang and Junzhi Yu

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1181-1189

Abstract: 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.

Date: 2009
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1181-1189

DOI: 10.1016/j.chaos.2009.03.016

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