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参数未知的新超混沌Volta's系统的自适应同步
引用本文:张志明,张一帆,李天增.参数未知的新超混沌Volta's系统的自适应同步[J].兰州理工大学学报,2020,46(3):150.
作者姓名:张志明  张一帆  李天增
作者单位: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
基金项目: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.

关 键 词:超混沌系统  反馈控制  Lyapunov指数谱  
收稿时间:2018-10-23

Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters
ZHANG Zhi-ming,ZHANG Yi-fan,LI Tian-zeng.Adaptive synchronization of a new hyperchaotic Volta's system with uncertaing parameters[J].Journal of Lanzhou University of Technology,2020,46(3):150.
Authors:ZHANG Zhi-ming  ZHANG Yi-fan  LI Tian-zeng
Institution:1. College of Software, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;
2. College of Intelligent Manufacturing and Automation, Henan University of Animal Husbandry and Economy, Zhengzhou 450046, China;
3. School of Science, Sichuan University of Science and Engineering, Zigong 643000, China
Abstract: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.
Keywords:hyperchaotic system  feedback control  Lyapunov exponents spectrum  
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