一个切换混沌系统的分析及在FPGA上的实现

Realization Based on FPGA and Analysis of a Switch Chaotic System

在变形Lorenz混沌系统的基础上,采用改变系统第三个方程中非线性项的方法,构建一个新的混沌系统,并分析该系统的平衡点及在平衡点的性质以及混沌吸引子相图、Lyapunov指数和Lyapunov维数等特性,它与另一个混沌系统构成一个切换混沌系统,利用电子设计自动化(Electronic Design Automatic,EDA)技术,借助于计算机的软件在现场可编程门阵列(Field Programmable Gate Array,FPGA)平台上实现了这个切换混沌系统。实验结果表明两个子混沌系统在各个相平面上的相图与理论分析结果符合得很好。该系统用于混沌同步的保密通讯中,可以提高安全性能。

A novel chaotic system is built by modifying the nonlinear term of the third equation based on modified Lorenz system, and some of its basic dynamical properties, such as the feature of equilibrium, the chaos attractor, Lyapunov exponent and fractal di- mension, are studied. This new system and another chaotic system form a switch chaotic system, which has been validated based on FPGA by computer software in EDA technology. Experimental results indicate that the phase diagrams of the two subsystems in their own phase planes agree well with theoretical analyses. The new system can improve the security of chaotic synchronization communication.