Mou Jun, Cao Hongli, Zhou Nanrun, Cao Yinghong
IEEE Trans Cybern. 2024 Dec;54(12):7333-7342. doi: 10.1109/TCYB.2024.3471644. Epub 2024 Nov 27.
In this article, a novel locally active memristor (LAM) model is designed and its characteristics are studied in detail. Then, the LAM model is applied to couple FitzHugh-Nagumo (FHN) and Hindmarsh-Rose (HR) neuron. The simple neuron network is built to emulate connection of separate neurons and transmission of information from FHN neuron to HR neuron. The equilibrium point about this FHN-HR model is analyzed. Under the influence of varied parameters, dynamical characteristics for the model are explored with various analysis methods, including phase diagram, time series, bifurcation diagram, and Lyapunov exponent spectrum (LEs). The spectral entropy (SE) complexity and sequence randomness of the model are studied. In addition to observing chaotic and periodic attractors, multiple types of attractor coexistence and particular state transition phenomena are also found in the coupled FHN-HR model. Furthermore, geometric control is used for modulating the amplitude and offset of attractor and neuron firing signals, involving amplitude control and offset control. Finally, DSP implementation is finished, proving digital circuit feasibility of the FHN-HR model. The research imitates the coupling and information transmission between different neurons and has potential applications to secrecy or encryption.
在本文中，设计了一种新型的局部有源忆阻器（LAM）模型，并对其特性进行了详细研究。然后，将LAM模型应用于耦合FitzHugh-Nagumo（FHN）神经元和Hindmarsh-Rose（HR）神经元。构建了简单的神经网络来模拟单个神经元的连接以及从FHN神经元到HR神经元的信息传输。分析了该FHN-HR模型的平衡点。在不同参数的影响下，采用多种分析方法，包括相图、时间序列、分岔图和Lyapunov指数谱（LEs），探索了该模型的动力学特性。研究了该模型的谱熵（SE）复杂度和序列随机性。除了观察到混沌吸引子和周期吸引子外，在耦合FHN-HR模型中还发现了多种类型的吸引子共存和特殊的状态转换现象。此外，采用几何控制来调制吸引子和神经元放电信号的幅度和偏移，包括幅度控制和偏移控制。最后，完成了DSP实现，证明了FHN-HR模型的数字电路可行性。该研究模拟了不同神经元之间的耦合和信息传输，在保密或加密方面具有潜在应用。
