摘要
改变Lorenz系统中的非线性函数得到变形Lorenz系统,利用Hartman-Grobman线性化定理证明二系统是拓扑等价的混沌系统。采用线性反馈控制方法实现了两个拓扑等价系统之间的混沌同步。根据Lyapunov稳定性理论,得到了线性反馈控制增益的取值范围。设计了实现两个拓扑等价Lorenz系统线性反馈混沌同步的实验电路,并通过实验对理论分析进行验证。提出利用拓扑等价系统之间混沌同步进行保密通讯的方法。与传统的保密通讯方法相比,该方法具有更好的保密性能。
A modified Lorenz system is gained by changing the nonlinear function of Lorenz system, and they are topologically equivalent. Now that both systems are equivalent, chaos synchronization between the Lorenz and the modified Lorenz is realized via linearly feedback control. Based on the Lyapunov stability theory, the threshold value of feedback gain for synchronization of the two systems is derived. The practical circuit is designed to realize chaos synchronization between the two systems and the experiment result verifies the conclusion. A new technique for secure communication is proposed based on chaos synchronization between above systems, which can increase the security capabilities of a communication system.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2006年第12期1878-1881,共4页
Systems Engineering and Electronics
基金
教育部高校博士点基金(20030286013)
江苏省高校自然科学研究基金(05KJD120083)资助课题
关键词
线性反馈控制
混沌同步
拓扑等价
保密通讯
linearly feedback control
chaos synchronization
topologically equivalent
secure communication
