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Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System

Author

Listed:
  • Fei Yu

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Wuxiong Zhang

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Xiaoli Xiao

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Wei Yao

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Shuo Cai

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Jin Zhang

    (School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, China)

  • Chunhua Wang

    (College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China)

  • Yi Li

    (Hunan Post & Telecommunication Planning and Designing Institute, No. 236 Yuanda Road, Changsha 410126, China)

Abstract

In this paper, we first present a simple seven-term 4D hyperchaotic system based on the classical Sprott-C 3D chaotic system. This novel system is inspired by the simple 4D hyperchaotic system based on Sprott-B proposed by A. T. Sheet (2022). We discuss the phenomenon of premature divergence brought about by the improper choice of coupling parameters in that paper and describe the basic properties of the new system with phase diagrams, Lyapunov exponential spectra and bifurcation diagrams. Then, we find that the dynamical behaviors of the system suffer from the limitation of the control parameters and cannot represent the process of motion in detail. To improve the system, we expand the dimensionality and add the control parameters and memristors. A 5D memristive hyperchaotic system with hidden attractors is proposed, and the basic dynamical properties of the system, such as its dissipation, equilibrium point, stability, Lyapunov exponential spectra and bifurcation diagram, are analyzed. Finally, the hardware circuits of the 4D Sprott-C system and the 5D memristive hyperchaotic system were realized by a field programmable gate array (FPGA) and verified by an experiment. The experimental results are consistent with the numerical simulation results obtained in MATLAB, which demonstrates the feasibility and potential of the system.

Suggested Citation

  • Fei Yu & Wuxiong Zhang & Xiaoli Xiao & Wei Yao & Shuo Cai & Jin Zhang & Chunhua Wang & Yi Li, 2023. "Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System," Mathematics, MDPI, vol. 11(3), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:701-:d:1051256
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    References listed on IDEAS

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    8. Li, Xuejun & Mou, Jun & Banerjee, Santo & Wang, Zhisen & Cao, Yinghong, 2022. "Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
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    Cited by:

    1. Othman Abdullah Almatroud & Viet-Thanh Pham, 2023. "Building Fixed Point-Free Maps with Memristor," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    2. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.

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