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.
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)
