Lorenz混沌系统的微控制器数字电路实现

摘要

基于STC89C52微控制器设计了一个Lorenz混沌系统的数字实现电路.采用四阶Runge-Kutta法对Lorenz系统的状态方程进行离散化处理,得到相应的离散化迭代算法,通过软件编程获得了预期的模拟混沌输出信号.电路实验结果与数值仿真结果一致,验证了基于微控制器数字电路实现Lorenz混沌系统的可行性.该实现电路通用性较强,可推广到一般的混沌或超混沌系统的数字电路实现.%This paper presents a digital circuit for the implementation of Lorenz chaotic system based on STC89C52 microcontroller.The state equations of Lorenz system are discretized using 4th order Runge-Kutta method,a discrete iterate algorithm is deduced and the anticipated analogue chaotic signals are obtained.The experiment results of the digital circuit are consistent with the numerical simulation results and it verifies the feasibility of the digital circuit for the implementation of Lorenz chaotic system based on microcontroller.The presented circuit has good compatibility and can be generalized to the digital circuit implementation of general chaotic or hyper-chaotic systems.