一个新的超混沌系统分析与FPGA实现

Analysis and FPGA implementation of a novel hyperchaotic system

针对现有超混沌系统的最大Lyapunov指数较小的问题,在三阶Qi系统的基础上,提出了一个具有2个较大的正的Lyapunov指数和较大参数范围的新的超混沌系统,分析了该系统的平衡点及稳定性、Lyapunov指数谱和分形维数、超混沌吸引子的相图等特性,并利用电子设计自动化(electronic design automatic,EDA)技术,借助于计算机的软件现场可编程门阵列(field programmable gate array,FPGA)平台实现了该系统,实验结果与仿真结果完全一致。

Against the problem in which the max Lyapunov exponent is min of the proposed hypderchaotic systems,a novel hypderchaotic system with two larger Lyapunov exponents and wider parameter range was built based on the three-order Qi chaotic system.The system was studied detailedly：the balance point and stability,Lyapunov exponent spectrum and the fractal dimension,and the phase portraits of hyperchaotic attractor.A practical circuit was designed to realize the system by electronic design automatic（EDA） technology based on field programmable gate array（FPGA） platform.The experimental result was in accord with the simulation result.