Discrete Hopfield neural network with delay is an extension of discrete Hopfield neural network. As it is well known, the stability of neural networks is not only the most basic and important problem but also foundati...Discrete Hopfield neural network with delay is an extension of discrete Hopfield neural network. As it is well known, the stability of neural networks is not only the most basic and important problem but also foundation of the network＇s applications. The stability of discrete HJopfield neural networks with delay is mainly investigated by using Lyapunov function. The sufficient conditions for the networks with delay converging towards a limit cycle of length 4 are obtained. Also, some sufficient criteria are given to ensure the networks having neither a stable state nor a limit cycle with length 2. The obtained results here generalize the previous results on stability of discrete Hopfield neural network with delay and without delay.展开更多
A type of stochastic interval delayed Hopfield neural networks as du(t) = [-AIu(t) + WIf(t,u(t)) + WIτf7τ(uτ(t)] dt +σ(t, u(t), uτ(t)) dw(t) on t≥0 with initiated value u(s) = ζ(s) on - τ≤s≤0 has been studie...A type of stochastic interval delayed Hopfield neural networks as du(t) = [-AIu(t) + WIf(t,u(t)) + WIτf7τ(uτ(t)] dt +σ(t, u(t), uτ(t)) dw(t) on t≥0 with initiated value u(s) = ζ(s) on - τ≤s≤0 has been studied. By using the Razumikhin theorem and Lyapunov functions, some sufficient conditions of their globally asymptotic robust stability and global exponential stability on such systems have been given. All the results obtained are generalizations of some recent ones reported in the literature for uncertain neural networks with constant delays or their certain cases.展开更多
近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以...近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以应对这一挑战。首先,利用忆阻器的突触仿生特性,构建了一种基于Hopfield神经网络的双忆阻类脑混沌神经网络模型,并通过分岔图、Lyapunov指数谱、相图、时域图及吸引盆等非线性动力学工具,深入揭示了模型的复杂混沌动力学特性。研究结果表明,该网络不仅展现出复杂的网格多结构混沌吸引子特性,还具有平面初值位移调控能力,从而显著增强了其密码学应用潜力。为了验证其实用性与可靠性,基于微控制器单元(MCU)搭建了硬件平台,并通过硬件实验进一步确认了模型的复杂动力学行为。基于此模型,该文设计了一种结合双忆阻类脑混沌神经网络复杂混沌特性的高效IoMT数据隐私保护方法。在此基础上,对彩色医疗图像数据的加密效果进行了全面的安全性分析。实验结果表明,该方法在关键性能指标上表现优异,包括大密钥空间、低像素相关性、高密钥敏感性,以及对噪声与数据丢失攻击的强鲁棒性。该研究为IoMT环境下的医疗数据隐私保护提供了一种创新且有效的解决方案,为未来的智能医疗安全技术发展奠定了坚实基础。展开更多
文摘Discrete Hopfield neural network with delay is an extension of discrete Hopfield neural network. As it is well known, the stability of neural networks is not only the most basic and important problem but also foundation of the network＇s applications. The stability of discrete HJopfield neural networks with delay is mainly investigated by using Lyapunov function. The sufficient conditions for the networks with delay converging towards a limit cycle of length 4 are obtained. Also, some sufficient criteria are given to ensure the networks having neither a stable state nor a limit cycle with length 2. The obtained results here generalize the previous results on stability of discrete Hopfield neural network with delay and without delay.
基金This project was supported by the National Natural Science Foundation of China (60074008, 60274007, 60274026) National Doctor foundaction of China (20010487005).
文摘A type of stochastic interval delayed Hopfield neural networks as du(t) = [-AIu(t) + WIf(t,u(t)) + WIτf7τ(uτ(t)] dt +σ(t, u(t), uτ(t)) dw(t) on t≥0 with initiated value u(s) = ζ(s) on - τ≤s≤0 has been studied. By using the Razumikhin theorem and Lyapunov functions, some sufficient conditions of their globally asymptotic robust stability and global exponential stability on such systems have been given. All the results obtained are generalizations of some recent ones reported in the literature for uncertain neural networks with constant delays or their certain cases.
文摘近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以应对这一挑战。首先,利用忆阻器的突触仿生特性,构建了一种基于Hopfield神经网络的双忆阻类脑混沌神经网络模型,并通过分岔图、Lyapunov指数谱、相图、时域图及吸引盆等非线性动力学工具,深入揭示了模型的复杂混沌动力学特性。研究结果表明,该网络不仅展现出复杂的网格多结构混沌吸引子特性,还具有平面初值位移调控能力,从而显著增强了其密码学应用潜力。为了验证其实用性与可靠性,基于微控制器单元(MCU)搭建了硬件平台,并通过硬件实验进一步确认了模型的复杂动力学行为。基于此模型,该文设计了一种结合双忆阻类脑混沌神经网络复杂混沌特性的高效IoMT数据隐私保护方法。在此基础上,对彩色医疗图像数据的加密效果进行了全面的安全性分析。实验结果表明,该方法在关键性能指标上表现优异,包括大密钥空间、低像素相关性、高密钥敏感性,以及对噪声与数据丢失攻击的强鲁棒性。该研究为IoMT环境下的医疗数据隐私保护提供了一种创新且有效的解决方案,为未来的智能医疗安全技术发展奠定了坚实基础。
