Memcapacitor model and its application in chaotic oscillator with memristor

Guangyi Wang, Shouchi Zang, Xiaoyuan Wang, Fang Yuan, Herbert Ho Ching Iu

    Research output: Contribution to journalArticle

    21 Citations (Scopus)

    Abstract

    Memristors and memcapacitors are two new nonlinear elements with memory. In this paper, we present a Hewlett-Packard memristor model and a charge-controlled memcapacitor model and design a new chaotic oscillator based on the two models for exploring the characteristics of memristors and memcapacitors in nonlinear circuits. Furthermore, many basic dynamical behaviors of the oscillator, including equilibrium sets, Lyapunov exponent spectrums, and bifurcations with various circuit parameters, are investigated theoretically and numerically. Our analysis results show that the proposed oscillator possesses complex dynamics such as an infinite number of equilibria, coexistence oscillation, and multi-stability. Finally, a discrete model of the chaotic oscillator is given and the main statistical properties of this oscillator are verified via Digital Signal Processing chip experiments and National Institute of Standards and Technology tests.

    Original languageEnglish
    Article number013110
    JournalChaos
    Volume27
    Issue number1
    DOIs
    Publication statusPublished - 1 Jan 2017

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