一类新的类Colpitts混沌信号发生器

A New Colpitts-like Chaotic Signal Generator

基于Colpitts方程,提出了一种新的三维混沌吸引子.通过改造Colpitts混沌系统归一化方程中的指数项为平方项得到混沌系统.通过相图、Poincaré映射、功率谱以及Lyapunov指数,证明了混沌吸引子的存在性.基于分岔图与Lyapunov指数谱阐述并分析了新型混沌吸引子的基本动力学行为,揭示了系统在参数变化下在不动点、周期态和混沌态等之间转变的物理过程.最后,给出了PSpice仿真实现电路,实验仿真与数值仿真结果一致.

A novel three-dimensional chaotic attractor derived from Colpitts equation is proposed. This chaotic system is developed by using a square term to substitute for exponent term in normal Colpitts equation. Lyapunov exponent,Poincare mapping,phase portrait and power spectrum are given to verify that the attractors are chaotic. Based on bifurcation diagram and Lyapunov exponent spectrum,some basic dynamical characteristics of the new system are investigated briefly and the physics process from fixed point, periodic to chaotic behaviors are disclosed simultaneously. Finally, the PSpice simulation for circuit implementation is given out which shows good agreement with the numerical simulation.