统一超混沌系统的构建与电路实现  

Generation and circuit implementation of a unified hyperchaotic system

作　　者：张伟强[1] 刘扬正[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：《山东大学学报（理学版）》2011年第7期30-34,共5页Journal of Shandong University(Natural Science)

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研究基金项目(KXJ07068)

摘　　要：针对统一混沌系统对应的超混沌系统实现问题,利用增加系统维数和线性反馈的方法,以统一混沌系统为基础,构建了一类四维自治统一超混沌系统。对系统平衡点的特性进行分析并计算了系统的分形维数,根据系统的Lyapunov指数谱和分岔图分析系统的变化范围。随着系统的变化,统一超混沌系统包含了3个子系统:广义超混沌Lorenz系统、超混沌Lu¨系统和广义超混沌Chen系统。与现有的超混沌系统比较,新的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)芯片对几个典型的统一超混沌系统进行硬件实现,并验证了超混沌奇异吸引子的存在。To solve the implementation problem of a unified hyperchaotic system, a four-dimensional unified hyperchaotic system is generated via adding dimensional and linear feedback to the three-dimensional unified chaotic system. The characters of three equilibriums are discussed and a fractal dimension is calculated. The range of a unified hyper- chaotic system is studied by Lyapunov exponent spectrum and bifurcation diagram. The parameter value of the unified hyperchaotic system is changed which contain a gengeralized hyperchaotic Lorenz system ,hyperchaotic Lti system and a gengeralized hyperchaotic Chen system. Compared with other hyperchaotic systems, the value of the biggest positive Lyapunov exponent for the new unified hyperchaotic system is bigger. The hyperchaotic strange attractors of a unified hyperchaotic system are achieved based on digital signal processing（DSP） for some typical systems.

关 键 词：统一超混沌系统 LYAPUNOV指数 分岔图 数字信号处理 

分 类 号：O415.5[理学—理论物理]