摘要
针对用模拟电路实现的混沌系统存在参数离散性大、调试复杂、电路通用性差等缺点,在综合改进型广义Lorenz系统及其折叠吸引子特性的基础上,提出基于微控制器数字电路设计与实现三维改进型广义Lorenz系统。采用Euler算法对改进型广义Lorenz系统的连续状态方程进行了离散化处理,建立了适合微控制器实现的运行算法,通过软件编程获得了数字电路实验输出。实验结果与数值仿真结果完全一致,表明了基于微控制器数字电路实现混沌系统的可行性,生成的数字混沌系统具有较好的通用性、软件可移植性,该设计思路可推广到一般的或高维的混沌系统电路的设计与实现。
In view of many disadvantages of chaotic system constructed by using analog circuits, such as large parameter discreteness, complex adjustment, poor popularity and so on, a three-dimensional improved generalized Lorenz system made by microcontroller digital circuits is presented. On the basis of synthesizing improved generalized Lorenz system and its folded attractor, this system designs a general digital circuit based on microcontroller, digitizes the continuous state equations of the improved generalized chaotic system using Euler algorithm, and creates suitable operation algorithm implemented by microcontrollers. Theexperimentalresultsofthedigital circuits are obtained through software programming. The experimental results are consistent with the numerical simulation and the fea- sibility ofmicrocontroller based digital circuit realization of chaotic system is verified. Since a digital chaotic system has better popularity and software portability, the proposed design idea can be generalized to the circuit realization of general or high-dimensional chaotic systems.
出处
《计算机工程与设计》
CSCD
北大核心
2010年第22期4752-4755,4764,共5页
Computer Engineering and Design
基金
江苏省自然科学基金项目(BK2009105)
常州工学院自然科学基金项目(YN0925)
