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Handbook of Memristor Networks pp 941–954Cite as

A Memristor-Based Chaotic System with Boundary Conditions

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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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Author information

Authors and Affiliations

  1. Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

    Xiaofang Hu & Gang Feng

  2. Departments of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China

    Guanrong Chen

  3. School of Electronics and Information Engineering, Southwest University, Chongqing, 400715, China

    Shukai Duan

Authors
  1. Xiaofang Hu
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  2. Guanrong Chen
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  3. Shukai Duan
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  4. Gang Feng
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Corresponding author

Correspondence to Xiaofang Hu .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA

    Leon Chua

  2. Democritus University of Thrace, Xanthi, Greece

    Georgios Ch. Sirakoulis

  3. Department of Computer Science and Creative Technologies, University of the West of England, Bristol, UK

    Andrew Adamatzky

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Hu, X., Chen, G., Duan, S., Feng, G. (2019). A Memristor-Based Chaotic System with Boundary Conditions. In: Chua, L., Sirakoulis, G., Adamatzky, A. (eds) Handbook of Memristor Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-76375-0_32

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  • DOI: https://doi.org/10.1007/978-3-319-76375-0_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-76374-3

  • Online ISBN: 978-3-319-76375-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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