多涡卷混沌发生器的研究

混沌理论及其应用的研究已经成为当今一个热点。本文对带有滞回非线性反馈的不稳定二阶线性系统进行了研究。从理论上分析了混沌吸引子的产生机理，为了验证混沌的产生计算了系统的Lyapunov指数。MATLAB仿真结果和电路实现验证了理论分析的结果。因为该多涡卷混沌发生器结构简单，所以可将它用于非线性电路和非线性系统的教学中，使学生了解混沌的基本概念，为以后进一步研究混沌理论奠定基础。

Research on Multi-scroll Chaos Generation

The theories and applications of the chaos have been the hot spot. This paper does research in the unstable second-order linear continuous system with a hysteresis nonlinear feedback. The Multi-scroll chaos generation scheme is analysed theoretically and the Lyapunov exponents are computed in order to verify the chaos generation. And the results from the simulation with MATLAB and real circuit experimental have verified the chaos generation scheme. Because the multi-scroll chaos generation is simply structured, it can be adopted in teaching the nonlinear circuit and nonlinear control system. So students can understand the conception of chaos, which will lay a foundation of researching in this field.