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分数阶Bao混沌系统的同步控制及加密仿真
引用本文:雷腾飞,付海燕,臧红岩,苏敏.分数阶Bao混沌系统的同步控制及加密仿真[J].吉首大学学报(自然科学版),2018,39(2):44-49.
作者姓名:雷腾飞  付海燕  臧红岩  苏敏
作者单位:(齐鲁理工学院电气信息工程学院,山东 济南 250200)
基金项目:山东省自然科学基金资助项目(ZR2017PA008)
摘    要:采用Adomian分解法从分数阶Bao系统的分岔图和最大Lyapunov指数(MLE)2方面对系统进行数值仿真分析,研究了该系统复杂的动力学特性.根据稳定性定理设计了基于分数阶Bao混沌系统的同步控制器,并将该同步控制器应用于分数阶混沌保密系统,仿真实验验证了所提同步方法的有效性,以及相应混沌保密通信策略的可实现性.

关 键 词:分数阶混沌系统  Adomian分解法  同步控制  保密通信  

Synchronization Control of Fractional-Order Bao Chaotic System and Encryption Simulation
LEI Tengfei,FU Haiyan,ZANG Hongyan,SU Min.Synchronization Control of Fractional-Order Bao Chaotic System and Encryption Simulation[J].Journal of Jishou University(Natural Science Edition),2018,39(2):44-49.
Authors:LEI Tengfei  FU Haiyan  ZANG Hongyan  SU Min
Institution:(School of Mechanical and Electrical Engineering,Qilu Institute of Technology,Ji'nan 250200,China)
Abstract:The complex dynamical characteristics of the fractional-order Bao chaotic systems are studied.The system is simulated numerically through the Adomian decomposition method with respect to the bifurcation diagram and the maximum Lyapunov exponent (MLE).At the same time,based on the stability theorem,the synchronization controller of the fractional order Bao chaotic system is and is applied to the fractional-order chaotic system security system,which verifies the effectiveness of the proposed synchronization method and the implementation of chaotic secure communication strategy.
Keywords:fractional-order chaotic system                                                                                                                        Adomian decomposition                                                                                                                        synchronization control                                                                                                                        secure communication
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