基于双曲函数的双忆阻器混沌电路多稳态特性分析

基于经典蔡氏混沌振荡电路，引入一种双曲余弦函数的新型磁控忆阻器模型，设计含有两个双曲余弦忆阻器的混沌电路系统，讨论了系统平衡点集面的稳定区间.选择不同的忆阻初始值进行数值仿真，通过分岔图与Lyapunov指数谱研究双曲忆阻混沌系统的多稳态特性.结果表明，含双曲函数的双忆阻混沌电路具有复杂的动力学行为，运动轨迹不仅依赖于电路参数，还受电路的初始状态影响，由此产生了不同拓扑结构的混沌吸引子与不同周期运动的多稳态隐藏吸引子共存现象.

Multistability Analysis of a Dual-Memristor Circuit Based on Hyperbolic Function

A novel magnetron memristor model based on the hyperbolic sine function is proposed.And then,a new type of five-dimensional dual-memristor chaotic circuit is built by replacing the nonlinear resistance in the Chua's system with the magnetron memristor model.It is found that the dual-memristor system has the equilibrium point set.In addition,the numerical simulation of the memristive system is carried out by selecting the different initial values of the system and the multistribution characteristics of the fifth-order chaotic system are analyzed in detail by using the bifurcation diagram and Lyapunov exponent spectrum.The results show that the dual-memristive chaotic circuit is different from the dynamic behavior of the chaotic system.The motion trajectory of system depends not only on the circuit parameters but also on the initial state of the circuit,resulting in the coexistence of different periodic motions and different chaotic attractors with different topologies.