Dynamic analysis of a fractional-order Lorenz chaotic system

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

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    177 Citations (Scopus)

    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. © 2009 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)1181-1189
    JournalChaos, Solitons and Fractals
    Volume42
    Issue number2
    DOIs
    Publication statusPublished - 30 Oct 2009

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