Hopf-type bifurcation and synchronization of a fractional order Van der Pol oscillator

Min Xiao, Wei Xing Zheng

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    4 Citations (Scopus)

    Abstract

    ![CDATA[In this paper, the dynamical behaviors of an incommensurate fractional order Van der Pol oscillator are studied. First, based on the stability theory of fractional order systems, some sufficient conditions for the stability and Hpof-type bifurcation are given for such fractional order system. Then, the frequency and amplitude of periodic oscillations are determined by numerical simulations. It is shown that the frequency of oscillations gets smaller as the fractional order is increased, while the amplitude of oscillations increases with the fractional order. Finally, the synchronization of two coupled fractional order Van der Pol oscillators is analyzed with the help of the linear feedback control method. Numerical simulations are performed to verify the theoretical results.]]
    Original languageEnglish
    Title of host publicationProceedings of the 31st Chinese Control Conference (CCC), July 25-27, 2012, Hefei, China
    PublisherIEEE
    Pages193-198
    Number of pages6
    ISBN (Print)9789881563811
    Publication statusPublished - 2012
    EventChinese Control Conference -
    Duration: 25 Jul 2012 → …

    Conference

    ConferenceChinese Control Conference
    Period25/07/12 → …

    Keywords

    • bifurcation
    • fractional calculus
    • oscillators
    • synchronization

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