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    Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system

    Access Status
    Fulltext not available
    Authors
    Li, Z.
    Chen, D.
    Ma, M.
    Zhang, Xinguang
    Wu, Yong Hong
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Li, Z. and Chen, D. and Ma, M. and Zhang, X. and Wu, Y.H. 2017. Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system. Chaos Solitons and Fractals. 99: pp. 116-123.
    Source Title
    Chaos Solitons and Fractals
    DOI
    10.1016/j.chaos.2017.03.014
    ISSN
    0960-0779
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52372
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Elsevier LtdThis paper demonstrates the existence of Feigenbaum's constants in reverse bifurcation for fractional-order Rössler system. First, the numerical algorithm of fractional-order Rössler system is presented. Then, the definition of Feigenbaum's constants in reverse bifurcation is provided. Third, in order to observe the effect of fractional-order to Feigenbaum's constants in reverse bifurcation, a series of bifurcation diagrams are computed. The Feigenbaum's constants in reverse bifurcation are measured and the error percentage in fractional-order Rössler system is presented. The simulation results show that Feigenbaum's constants exist in reverse bifurcation for fractional-order Rössler system. Especially, the Feigenbaum's constants still exist in the periodic windows. A summary on previous others’ works about Feigenbaum's constants is proposed. This paper draw a conclusion that the constants are universal in both period-doubling bifurcation and reverse bifurcation for both integer and fractional-order system.

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