基于SE和C_0算法的连续混沌系统复杂度分析  

Analysis of continuous chaotic complexity based on SE and C_0 algorithm

作　　者：叶晓林 牟俊[1] 王智森[1] 金基宇 张蕾 刘恩萌 

机构地区：[1]大连工业大学信息科学与工程学院,辽宁大连116034

出　　处：《大连工业大学学报》2018年第1期67-72,共6页Journal of Dalian Polytechnic University

基　　金：辽宁省科学事业公益研究基金(2015003012);辽宁省教育厅科学研究一般项目(L2015043);辽宁省博士科研启动基金指导计划项目(201601280);辽宁省自然科学基金项目(20170540060);辽宁省高等学校基本科研项目(2017J045)

摘　　要：在SE和C0复杂度的算法基础上分析了Bao混沌系统、Rossler混沌系统、文氏桥超混沌系统复杂度特性,并与相应系统的相图、李雅普诺夫指数谱和混沌周期分岔图进行了比较,证明了SE和C0复杂度曲线能够正确有效地描述连续混沌系统的动力学特征。通过不同连续混沌系统复杂度特性的对比可以看出,SE和C0复杂度变化趋势具有基本一致性,且复杂度与混沌特性相关,为混沌系统应用于密码学、保密通信、信息安全等领域提供了相关理论依据。Based on SE algorithm and C_0 algorithm,the complexity characteristics of Bao chaotic system,Rossler chaotic system,Wien-Bridge hyperchaotic system were analyzed and compared with the phase diagrams,Lyapunov exponents spectrum and the periodic bifurcation diagram in these systems.The results showed that the curves of SE complexity and C_0 complexity could reflect dynamic characteristics of continuous chaotic systems correctly and effectively.Through the contrast of complexity characteristics of different continuous chaotic systems,it showed that SE complexity and C_0 complexity had the similar changing trend,and complexity was related with chaotic characteristics.All the above provides a relevant theoretical basis for the chaotic systems which could be used in the fields of cryptography,secure communication and information security.

关 键 词：SE复杂度 C0复杂度 Bao混沌系统 Rossler混沌系统 文氏桥超混沌系统 

分 类 号：O231.2[理学—运筹学与控制论]