摘要
本文以四维Chen系统的状态变量为扰动项,构造了一类具有非周期参数激励的四维Lorenz系统,相较于常参数系统和周期参数激励系统而言,非周期激励下的混沌系统蕴含着更加复杂的动力学特性,更难以被预测和还原。随后,基于Lyapunov稳定性理论设计了单向多路耦合控制器,实现了上述变参数系统的混沌同步控制问题,并基于该同步思想以及控制器的特点设计了相应的保密通信方案。
In this paper,a class of four-dimensional lorenz systems with aperiodic parameter excitation is constructed by taking the state variables of the four-dimensional Chen system as the disturbance term.Compared with the constant parameter system and the periodic parameter excitation system,the chaotic system under aperiodic excitation contains more Complex dynamics,more difficult to predict and restore.Then,based on the Lyapunov stability theory,a one-way multi-channel coupled controller is designed to realize the chaotic synchronization control problem of the above variable parameter system.Based on the synchronization idea and the characteristics of the controller,a corresponding secure communication scheme is designed.
作者
唐叶芝
李震波
TANG Yezhi;LI Zhenbo(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China;Hunan Key Laboratory of Mathematical Modeling and Scientific Computing,University of South China,Hengyang,Hunan 421001,China)
出处
《南华大学学报（自然科学版）》
2022年第5期55-63,共9页
Journal of University of South China：Science and Technology
基金
国家自然科学基金项目(11747147)
湖南省自然科学基金项目(2019JJ50515)
湖南省教育厅资助项目(21B0419)。
关键词
混沌同步
参数激励
多路耦合
保密通信
chaos synchronization
parameter excitation
multi-channel coupling
secure communication
