新高次四维超混沌系统的广义反同步  

Generalized anti-synchronization of new high-order four-dimensional hyperchaotic system

作　　者：郑莉[1] 孙常春[1] ZHENG Li;SUN Chang-chun(School of Science,Shenyang Jianzhu University,Shenyang 110168,China)

机构地区：[1]沈阳建筑大学理学院,沈阳110168

出　　处：《沈阳工业大学学报》2020年第5期569-572,共4页Journal of Shenyang University of Technology

基　　金：辽宁省自然科学基金项目(20180550060).

摘　　要：为了将新的、特殊的混沌系统应用在保密信号、图像加密和电路实现等领域,提出了一个带13次项的超高次四维超混沌系统.通过计算机模拟出了三维空间及二维平面相图,计算了Lyapunov指数谱,分析了该系统的平衡点.根据Lyapunov稳定性理论,设计出非线性反同步控制器,在反同步控制器的作用下,驱动系统与响应系统能够迅速同步.通过Matlab试验平台验证了该控制器的有效性.In order to apply a new and special chaotic system to secure signals,image encryption,circuit implementation and other fields,a high order four-dimensional hyperchaotic system with 13 terms was proposed.Three-dimensional space and two-dimensional plane phase diagrams were simulated by computers,the Lyapunov exponential spectrum was calculated,and the equilibrium point of the system was analyzed.According to Lyapunov stability theory,a nonlinear anti-synchronization controller was designed.The response system can synchronize with the driving system under the action of anti-synchronization controller.The effectiveness of the controller was verified by the Matlab test platform.

关 键 词：混沌 四维混沌系统 超混沌系统 高次项 LYAPUNOV指数谱 平衡点 广义同步 反同步 

分 类 号：TN918[电子电信—通信与信息系统]