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Two Discrete Memristive Chaotic Maps And Its Dsp Implementation

Author

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  • XINTONG HAN

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JUN MOU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JINSHI LU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • SANTO BANERJEE

    (��Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy)

  • YINGHONG CAO

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

Abstract

In this paper, a discrete model of memristor is adopted and analyzed. The new discrete maps are built by introducing this discrete memristor model into a two-dimensional discrete map. Interestingly, introducing this discrete memristor model from different locations can lead to two new chaotic map models. The dynamical behaviors of the two maps are studied by means of bifurcation diagrams, phase diagrams and Lyapunov exponential spectra (LEs). The simulation results show that both chaotic systems have rich dynamical behaviors. In addition, they are experimentally found to have multi-stable properties, where the M-XM map has infinite attractors coexistence. Finally, we complete the hardware implementation of the two maps based on Digital Signal Processing (DSP) platform for the application of discrete chaotic systems.

Suggested Citation

  • Xintong Han & Jun Mou & Jinshi Lu & Santo Banerjee & Yinghong Cao, 2023. "Two Discrete Memristive Chaotic Maps And Its Dsp Implementation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:06:n:s0218348x23401047
    DOI: 10.1142/S0218348X23401047
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    Cited by:

    1. García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Lu, Jun & Zhang, Jiaxin & Hao, Dawei & Zhao, Ruoyu & Mou, Jun & Zhang, Yushu, 2024. "Text visualization encryption based on coordinate substitution and chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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