忆阻FitzHugh-Nagumo神经元电路有限时间同步

Finite-time Synchronization of Memristor-Based FitzHugh-Nagumo Circuit

主要研究了降维忆阻FitzHugh-Nagumo系统的非线性动力学行为以及有限时间内的多稳态同步.首先建立系统精确降维模型,展开降维忆阻系统随不同初始状态变化的动力学行为分析.利用分岔图和Lyapunov指数谱等分析方法,研究发现调整系统初始状态,系统呈现出多稳态现象.通过滑动模态控制方法实现两个忆阻FitzHugh-Nagumo神经元电路有限时间内的多稳态同步.最后,通过同步数值仿真证明了控制方法的正确性和有效性.

In this paper,the nonlinear dynamic behavior and multi-stable synchronization of memristor-based FitzHugh-Nagumo system for dimension reduction are studied.The accurate dimensionality reduction model of the system is first established.The dynamic behavior analysis of the dimensionality reduction memristive system with different original initial state is developed through bifurcation diagrams and Lyapunov exponent.And the multistability of the system is investigated.More importantly,the sliding mode control method is designed to achieve the finite-time synchronization of the multistable memristive neuron systems,which make two different behaviors of system synchronized.Finally,numerical simulations show the effectiveness and correctness of the sliding mode controller designed.