一个新的超混沌系统及其投影同步  

A New Hyper-Chaos and Its Projective Synchronization

作　　者：申玉发[1] 刘建平[1] 

机构地区：[1]河北科技师范学院数学与信息科技学院,河北秦皇岛066004

出　　处：《河北科技师范学院学报》2017年第2期1-6,共6页Journal of Hebei Normal University of Science & Technology

基　　金：国家自然科学基金项目(项目编号:11571091);河北科技师范学院科学研究基金项目(项目编号:自然科学2017-04)

摘　　要：构造了一个新的超混沌系统,针对该超混沌系统的动力学行为进行了详细分析;然后,给出了基于该系统投影同步的状态观测器,并通过数值仿真探讨了投影同步误差,说明了同步观测器的正确性及有效性。超混沌系统比一般混沌系统的动力学行为更为复杂且难以预测,将其应用在保密通信领域中时具有较高的安全性。The dynamic behavior of hyper-chaos is more complex and unpredictable than the chaos, which usually induces a higher safety when it is applied in the field of communication. In this paper, we constructed a new hyper-chaos and presented a detailed analysis for its dynamic behavior firstly. With the purpose of realizing projective synchronization for the proposed hyper-chaos, we designed a state observer. Finally, we also investigated the error of the projective synchronization. The results of simulation experiment showed that the designed state observer was correct and effective.

关 键 词：混沌吸引子 平衡点 耗散性 LYAPUNOV指数 Lyapunov维数 投影同步 

分 类 号：O193[理学—数学]