含三次项类Chen系统的级联及其随机数发生器设计  

Cascaded Chen-like System with Cubic Terms,Its Random Number Generator Design

作　　者：袁泽世 臧飞 YUAN Zeshi;ZANG Fei(The 28th Research Institute of China Electronics Technology Group Corporation,Nanjing 210000,China)

机构地区：[1]中国电子科技集团公司第二十八研究所,江苏南京210000

出　　处：《安徽工业大学学报（自然科学版）》2020年第4期379-384,共6页Journal of Anhui University of Technology（Natural Science）

基　　金：国家重点研发计划项目(2018YFC0809001)。

摘　　要：基于已有类Chen系统,通过引入三次项的方式构造新类Chen混沌系统。将已有类Chen系统与本文构造的类Chen系统进行级联,设计基于级联系统的混沌随机数发生器,并讨论不同随机数序列后处理方法。结果表明:含三次项的类Chen系统呈典型的混沌特征,具理想的最大Lyapunov指数、更多的平衡点和更复杂的结构;基于级联系统的混沌随机数发生器生成的随机数序列通过NIST检验,证明了该随机数生成方法的有效性。Based on the existing Chen-like system,a new Chen-like chaotic system was constructed by introducing a third term.The existing Chen like system was cascaded with the Chen like system constructed.The Chaotic random number generator based on the cascade system was designed,and the post-processing methods of different random number sequences were discussed.The results show that the new Chen-like system with cubic terms presents typical chaotic characteristics,with ideal maximum Lyapunov exponents,more balance points and more complex structures.The random number sequences generated by chaotic random number generators based on cascaded systems pass the NIST test,which proves the effectiveness of the random number generation method.

关 键 词：混沌系统 级联系统 随机数发生器 

分 类 号：N93[自然科学总论]