一个新的混沌系统及其共存吸引子的研究  

A New Chaotic System and Its Coexisting Attractors

作　　者：史传宝[1] 王光义[1] 臧寿池 

机构地区：[1]杭州电子科技大学电子信息学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2017年第4期1-5,29,共6页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(60971046;61281230357);浙江省自然科学基金重点资助项目(LZ12F01001)

摘　　要：为进一步研究混沌系统特性,提出了一个具有多稳定性的三维连续混沌系统.通过平衡点、Lyapunov指数、分岔图和动力学地图分析了系统受参数影响的动力学特性.在参数固定的情况下,分析初值变化的Lyapunov指数谱,得到了多种共存吸引子.通过设计模拟电路实现了该系统,实验结果与仿真结果一致.对系统混沌二值序列进行了NIST伪随机性测试,随机性优于Lorenz系统,可作为随机信号源应用于信息加密和保密通信领域.In order to further study the characteristics of chaotic system, a three-dimensional continuous chaotic system with multi-stability is proposed. The influence of parameters on the dynamic characteristics of the system is introduced by equilibrium point, Lyapunov exponent, bifurcation diagram and dynamic map. When parameters are fixed, the Lyapunov exponent spectrum of varying initial val- ue is analyzed, and a variety of coexisting attractors are obtained. The simulation circuit is designed to realize the system, and the experimental results are in agreement with the simulation results. The N/ST random test is carried out on the two value sequence of the chaotic system, which is better than the Lorenz system for the random properties. It can be used as a random signal source for information encryption and secure communication.

关 键 词：三维混沌系统 动力学地图 共存吸引子 

分 类 号：TN401[电子电信—微电子学与固体电子学]