一种最简的并行忆阻器混沌系统

在提出的一种压控忆阻器的基础上, 构造了最简的并联忆阻器混沌系统, 分析其动力学特性, 得到了该系统的Lyapunov指数和Lyapunov维数, 给出了时域波形、相图、Lyapunov指数谱、分岔图、Poincaré映射等. 利用EWB软件设计了该新混沌系统的振荡电路并进行了仿真实验. 研究结果表明, 忆阻器的i-v特性在参数的变化时, 并不保持斜“8”字形, 会变为带尾巴的扇形. 该混沌系统与磁控忆阻器混沌系统不同, 系统只有一个平衡点, 初始条件在系统能振荡的情况下不影响系统状态. 电路实验仿真结果和数值仿真具有很好的一致性, 证实了该系统的存在性和物理上可实现性. 关键词： 忆阻器 混沌电路 并联 动力学行为

A simplest parallel chaotic system of memristor

Based on a proposed voltage-controlled memristor, a simplest parallel memristor chaotic system is constructed. The dynamical characteristics of the new chaotic system are analyzed, including Lyapunov exponent, Lyapunov dimension, time domain waveforms, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré mapping. An electronic circuit of the new system is designed and verified by simulations using the EWB software. Research results show that with the parameter change, the i-v characteristic of the memristor, instead of keeping inclined 8-shaped, becomes a fan-shape with a tail. The differences between the chaotic system and the magnetic-controlled memristor chaotic system are in two aspects: only one equilibrium point in the chaotic system, and the initial conditions do not affect the state of the system when the system can oscillate. Good matching between numerical simulation and circuit experimental simulation proves the existence and physical realizability of the new chaotic system.
Keywords： memristor chaotic circuit parallel dynamical behaviour