Chaotic behavior in fractional-order memristor-based simplest chaotic circuit using fourth degree polynomial

L. Teng, Ho Ching Iu, X. Wang

    Research output: Contribution to journalArticle

    67 Citations (Scopus)

    Abstract

    In this paper, a memristor with a fourth degree polynomial memristance function is used in the simplest chaotic circuit which has only three circuit elements: a linear passive inductor, a linear passive capacitor, and a nonlinear active memristor. We use second order exponent internal state memristor function and fourth degree polynomial memristance function to increase complexity of the chaos. So, the system can generate double-scroll attractor and four-scroll attractor. Systematic studies of chaotic behavior in the integer-order and fractional-order systems are performed using phase portraits, bifurcation diagrams, Lyapunov exponents, and stability analysis. Simulation results show that both integer-order and fractional-order systems exhibit chaotic behavior over a range of control parameters. © 2014 Springer Science+Business Media Dordrecht.
    Original languageEnglish
    Pages (from-to)231-241
    JournalNonlinear Dynamics
    Volume77
    Issue number1-2
    DOIs
    Publication statusPublished - 2014

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