一个新型指数混沌系统的设计与电路实现  

Design and circuit implementation of a novel exponent chaotic system

作　　者：薛华[1] 

机构地区：[1]滨州学院光电工程系,山东滨州256603

出　　处：《安徽大学学报（自然科学版）》2014年第6期66-72,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61174094;60904064);教育部博士点基金资助项目(20090031110029);滨州学院科研项目(BZXYG1302)

摘　　要：为了提高混沌系统的复杂性,用自然乘积指数函数替代一个3阶混沌系统中的非线性乘积项构造一个新型混沌系统.分析该系统的耗散性、平衡点、稳定性、Laypunov指数、分岔图等基本动力学特性.设计该混沌系统的硬件电路,并进行实验验证,电路实验结果和数值仿真一致.该新型混沌系统通过了NIST标准测试,可作为随机信号源产生更为复杂、随机性更好的伪随机序列.In order to improve complexity of chaos,a novel chaotic system was constructed by replacing the nonlinear product term in the continuous three-dimensional chaotic system with a natural exponential function.Some basic properties of this chaotic system,including dissipativity,equilibrium point,stability,Lyapunov exponent spectrum,bifurcation,were analyzed in detail.Moreover,a hardware circuit of this chaotic system was designed and confirmed by experiment.Circuit experimental results were in accordance with experimental results.The novel chaotic system accorded with the test of NIST standard basically,and could be a random signal source to generate good pseudo-random sequences with more complex and better randomness.

关 键 词：混沌系统 动力学特性 电路实现 指数函数 

分 类 号：TN914.42[电子电信—通信与信息系统]