基于电流反馈运算放大器的忆阻混沌电路设计与仿真

将电流反馈运算放大器和四种基本电路元件电容、电感、电阻、忆阻器巧妙结合,设计出一种新型忆阻混沌电路.分析系统的基本动力学行为,如耗散性、平衡点稳定性、相图、Lyapunov指数和参数影响等.数值仿真结果表明,该电路可产生一类特殊的混沌吸引子,且随系统参数的演变可产生丰富复杂的混沌特性.为了验证系统的正确性,设计了实现该系统的仿真电路,Pspice仿真结果验证了理论分析的正确性.     

Firing activities in a fractional-order Hindmarsh-Rose neuron with multistable memristor as autapse

Considering the fact that memristors have the characteristics similar to biological synapses, a fractional-order multistable memristor is proposed in this paper. It is verified that the fractional-order memristor has multiple local active regions and multiple stable hysteresis loops, and the influence of fractional-order on its nonvolatility is also revealed. Then by considering the fractional-order memristor as an autapse of Hindmarsh-Rose (HR) neuron model, a fractional-order memristive neuron model is developed. The effects of the initial value, external excitation current, coupling strength and fractional-order on the firing behavior are discussed by time series, phase diagram, Lyapunov exponent and inter spike interval (ISI) bifurcation diagram. Three coexisting firing patterns, including irregular asymptotically periodic (A-periodic) bursting, A-periodic bursting and chaotic bursting, dependent on the memristor initial values, are observed. It is also revealed that the fractional-order can not only induce the transition of firing patterns, but also change the firing frequency of the neuron. Finally, a neuron circuit with variable fractional-order is designed to verify the numerical simulations.