参数未知的新超混沌Volta’s系统的自适应同步  

Adaptive synchronization of a new hyperchaotic Volta’s system with uncertaing parameters

作　　者：张志明[1] 张一帆 李天增 ZHANG Zhi-ming;ZHANG Yi-fan;LI Tian-zeng(College of Software, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;College of Intelligent Manufacturing and Automation, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;School of Science, Sichuan University of Science and Engineering, Zigong 643000, China)

机构地区：[1]河南牧业经济学院软件学院,河南郑州450046 [2]河南牧业经济学院智能制造与自动化学院,河南郑州450046 [3]四川理工学院数学与统计学院,四川自贡643000

出　　处：《兰州理工大学学报》2020年第3期150-154,共5页Journal of Lanzhou University of Technology

基　　金：四川省教育厅项目(18ZA0342);河南省重大科技专项(161100510200,161100110900)。

摘　　要：在Volta’s系统的基础上通过添加线性控制器得到一个新的超混沌系统.利用分统计岔图、Lyapunov指数谱和相图研究新系统随参数变化的超混沌和混沌行为,运用Lyapunov稳定定理和自适应控制理论,实现了参数未知的两个超混沌系统的同步.计算机仿真结果验证了提出的方法的正确性和有效性.A new hyperchaotic system based on Volta’s system is presented via adding linear control.The hyperchaotic behavior and chaotic behavior of this new 4D Volta’s system are studied by Bifurcation diagram,Lyapunov exponents spectrum and phase diagram.The hyperchaotic behavior and chaotic behavior of this new 4D Volta’s system with varying parameters are studied by Bifurcation diagram,Lyapunov exponents spectrum and phase diagram.Then,the Lyapunov stability theorem and the adaptive control theory are both employed to realize synchronization of the two hyperchaos with unknown parameters.Our simulation results have demonstrated effectiveness and validity of the proposed method.

关 键 词：超混沌系统 反馈控制 LYAPUNOV指数谱 

分 类 号：O175[理学—数学]