一个三维混沌系统的错位跟踪同步  

DISLOCATED TRACKING SYNCHRONIZATION OF A THREE DIMENSIONAL CHAOTIC SYSTEM

作　　者：刘文[1] 常艳娜[1] 赵静一[2,3] 王永凯[1] 王娜[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004 [2]河北省重型机械流体动力传输与控制重点实验室,秦皇岛066004 [3]先进锻压成形技术与科学教育部重点实验室,秦皇岛066004

出　　处：《内蒙古农业大学学报（自然科学版）》2017年第1期70-74,共5页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：国家自然科学基金(51175448);河北省自然科学基金(E2012203071)

摘　　要：针对一个三维的自治混沌系统,在分析其混沌行为的基础上,采用错位反馈控制方法并结合跟踪控制实现驱动系统和响应系统在不同初值下的错位跟踪同步。根据Lyapunov稳定性理论,得到了该系统实现错位跟踪同步的参数取值范围。并就具体的参数进行Matlab模拟仿真。理论结果和数值模拟均验证了该方法的正确性和有效性。The chaotic behavior of a three - dimensional autonomous chaotic system is analyzed. And through the feedback control method coupled with tracking control method, dislocated tracking synchronization between drive chaotic system and response chaotic system with different initial conditions is realized. The ranges of dislocated tracking synchronization control parameters are obtained based on Lyapunov stability theory. The corresponding conditions of numerical simulation is carried out by Matlab. The numerical re- sults agree well with theoretical results, and that proves the validity and convenience of the method introduced in this paper.

关 键 词：混沌 错位同步 反馈控制 跟踪控制 

分 类 号：O415.5[理学—理论物理]