基于Lorenz系统的忆阻混沌系统分析

摘要

This paper presents a new memristor chaotic system which has one positive Lyapunov index.The system is based on the HP memrisor which has the real physical model and the improved Lorenz chaos system.The results using MATLAB show complex dynamic phenomenon of the system through the detailed analysis,including phase space analysis,Lyapunov exponent spectrum,time domain waveform,bifurcation a-nalysis and poincare section analysis.Then the chaotic characteristics of the system are verified by the Sim-ulink simulation.%首先该文是基于具有真实物理模型的HP忆阻器，在Lorenz系统的基础上进行改进，产生了新的忆阻混沌系统，它有一个正的Lyapunov指数。通过对用MATLAB语言编程实现的系统的相轨图， Lyapunov指数谱，时域波形图，分岔图，poincare映射的详细分析，可以看到系统复杂的动力学现象，最后通过Simulink仿真验证了该系统的混沌特性。