Qi型统一超混沌系统的特性分析与实现  

Analysis of Properties of Qi Unified Hyperchaotic System and Its Realization

作　　者：张伟强[1] 

机构地区：[1]南京工程学院非线性物理研究所,江苏南京211167

出　　处：《南京工程学院学报（自然科学版）》2011年第3期1-5,共5页Journal of Nanjing Institute of Technology(Natural Science Edition)

基　　金：国家自然科学基金项目(90405011);江苏省高校自然科学研究基金项目(07KJD120081);南京工程学院自然科学基金项目(KXJ07068)

摘　　要：参照Qi型混沌系统的构建模式,利用拓展系统维数和线性反馈的方法,构建Qi型统一超混沌系统.通过分析系统平衡点的性质、Lyapunov指数谱、分岔图和分形维数等动力学特性,确定了系统参数的变化范围.数值分析表明随着系统参数的变化,Qi型统一超混沌系统包含3个子系统(广义超混沌Lorenz系统、超混沌Lü系统和广义超混沌Chen系统).与现有的超混沌系统比较,Qi型统一超混沌系统具有更大的最大Lyapunov指数.用数字信号处理(DSP)芯片对几个典型的Qi型统一超混沌系统进行硬件实现.Based on the developing model for Qi chaotic system, this paper proposes a Qi unified hyperchaotic system by expanding dimensions and linear feedback to the three-dimensional unified chaotic system. The analysis of the properties related to the system equilibriums, Lyapunov exponent spectrum, bifurcation diagram and fractal dimensions, helps to determine the range of system parameters. The numerical analysis shows that Qi unified hyperchaotic system is composed of three sub-systems, namely, generalized hyperchaotic Lorenz system, hyperchaotic Lil system and generalized hyperchaotic Chen system, as the system parameters change. Compared with the existing hyperchaotic system, the largest Lyapunov exponent of the Qi unified hyperchaotic system is larger. The hardware of a number of Qi unified hyperchaotic systems is realized by using digital signal processing chips.

关 键 词：Qi型统一超混沌系统 LYAPUNOV指数 分岔图 DSP 

分 类 号：TN911[电子电信—通信与信息系统] O415.5[电子电信—信息与通信工程]