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A Memristor-Based Chaotic System with Boundary Conditions

  • Xiaofang HuEmail author
  • Guanrong Chen
  • Shukai Duan
  • Gang Feng
Chapter

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.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Xiaofang Hu
    • 1
    Email author
  • Guanrong Chen
    • 2
  • Shukai Duan
    • 3
  • Gang Feng
    • 1
  1. 1.Department of Mechanical and Biomedical EngineeringCity University of Hong KongKowloonHong Kong SAR, China
  2. 2.Departments of Electronic EngineeringCity University of Hong KongKowloonHong Kong SAR, China
  3. 3.School of Electronics and Information EngineeringSouthwest UniversityChongqingChina

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