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Design and analysis of grid attractors in memristive Hopfield neural networks

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Listed:
  • Yuan, Fang
  • Qi, Yaning
  • Yu, Xiangcheng
  • Deng, Yue

Abstract

This paper proposes three types of memristive Hopfield neural networks (M-HNNs) that incorporate connections comprising memristor self-synapses and unidirectional synapses. The M-HNNs are designed as simple three-neuron structures capable of configuring multi-double-scroll attractors in terms of both attractor directions and numbers by applying an external excitation current to neurons. Complex dynamic behaviors are investigated, including space multi-structure chaotic attractors and coexisting behaviors with space initial offset. Phase portraits, bifurcation diagrams, and Lyapunov exponents are employed to reveal and examine the specific dynamics. Furthermore, microcontroller-based digital hardware platforms are utilized to validate the numerical simulations, and the practicality of the proposed M-HNNs is demonstrated through the design of three corresponding pseudo-random number generators (PRNGs).

Suggested Citation

  • Yuan, Fang & Qi, Yaning & Yu, Xiangcheng & Deng, Yue, 2024. "Design and analysis of grid attractors in memristive Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924010300
    DOI: 10.1016/j.chaos.2024.115478
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    References listed on IDEAS

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    1. Wu, Huagan & Bian, Yixuan & Zhang, Yunzhen & Guo, Yixuan & Xu, Quan & Chen, Mo, 2023. "Multi-stable states and synchronicity of a cellular neural network with memristive activation function," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Lai, Qiang & Lai, Cong & Zhang, Hui & Li, Chunbiao, 2022. "Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Cao, Hongli & Wang, Yu & Banerjee, Santo & Cao, Yinghong & Mou, Jun, 2024. "A discrete Chialvo–Rulkov neuron network coupled with a novel memristor model: Design, Dynamical analysis, DSP implementation and its application," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    4. Zhang, Sen & Li, Yongxin & Lu, Daorong & Li, Chunbiao, 2024. "A novel memristive synapse-coupled ring neural network with countless attractors and its application," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
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