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<p>Memristors have great prospects in constructing memristor neural networks with complex dynamics. In this paper, a multistable memristor model based on sigmoid function is proposed, the multistability of memristor is analyzed and described by mathematical model. The sigmoid memristor coupled Hopfield neural network (SMHNN) chaotic system is constructed by coupling the multistable sigmoid memristor with different neurons of the Hopfield neural network. The equivalent circuit of the SMHNN chaotic system is designed to verify the accuracy of the numerical results and ensure the feasibility in practice. Through dynamic analysis and numerical simulation, the spatial multistructure attractors of SMHNN chaotic system with dynamic tuning are revealed. This adjustable multistructure spatial attractor has complex dynamic behavior, capable of generating chaotic sequences with a richer key space, demonstrating high unpredictability and potential application value. Combining SMHNN complex chaotic behavior with DNA coding and Arnold mapping space transformation, an Arnold Map diffusion algorithm based on DNA-Magic Cube (AM-DMC) is proposed for industrial image encryption. The test results show that the encryption scheme has high security and strong anti-attack capability. The security of industrial image transmission is improved.</p>

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Spatial multi-structure SMHNN based on sigmoid memristor coupling and application of AM-DMC in industry

  • 期刊论文

  • 发表日期：

    2025年8月23日

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  • Junwei Sun,
  • Jinliang Yang,
  • Zicheng Wang,
  • Yanfeng Wang

摘要

Memristors have great prospects in constructing memristor neural networks with complex dynamics. In this paper, a multistable memristor model based on sigmoid function is proposed, the multistability of memristor is analyzed and described by mathematical model. The sigmoid memristor coupled Hopfield neural network (SMHNN) chaotic system is constructed by coupling the multistable sigmoid memristor with different neurons of the Hopfield neural network. The equivalent circuit of the SMHNN chaotic system is designed to verify the accuracy of the numerical results and ensure the feasibility in practice. Through dynamic analysis and numerical simulation, the spatial multistructure attractors of SMHNN chaotic system with dynamic tuning are revealed. This adjustable multistructure spatial attractor has complex dynamic behavior, capable of generating chaotic sequences with a richer key space, demonstrating high unpredictability and potential application value. Combining SMHNN complex chaotic behavior with DNA coding and Arnold mapping space transformation, an Arnold Map diffusion algorithm based on DNA-Magic Cube (AM-DMC) is proposed for industrial image encryption. The test results show that the encryption scheme has high security and strong anti-attack capability. The security of industrial image transmission is improved.