A Memristor-Based Chaotic System with Boundary Conditions

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review

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Original languageEnglish
Title of host publicationHandbook of Memristor Networks
EditorsLeon Chua, Georgios Ch. Sirakoulis, Andrew Adamatzky
PublisherSpringer Nature
Pages941-954
ISBN (Electronic)9783319763750
ISBN (Print)9783319763743
Publication statusPublished - 2019

Abstract

This chapter proposes and studies a memristor-based chaotic system, which is constructed by incorporating a memristor into the canonical Chen oscillator with boundary conditions. Specifically, charge-controlled and flux-controlled memristor models with appropriate boundary conditions are introduced and the relation between the charge through and the flux across the memristor is derived. The rich and interesting dynamical behaviors of the memristive system are demonstrated. In particular, chaos in the system is verified by conventional means of, for instance, the Lyapunov exponent spectrum, observation of chaotic attractors, as well as basic bifurcation analysis. Finally, a basic analog circuit implementation of the memristive chaotic system based on PSPICE is presented.

Citation Format(s)

A Memristor-Based Chaotic System with Boundary Conditions. / Hu, Xiaofang; Chen, Guanrong; Duan, Shukai et al.
Handbook of Memristor Networks. ed. / Leon Chua; Georgios Ch. Sirakoulis; Andrew Adamatzky. Springer Nature, 2019. p. 941-954.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review