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张良,唐驾时.四维超混沌系统Hopf分岔分析与反控制
Hopf bifurcation analysis and anti-control of bifurcation of a four-dimensional hyperchaotic systems[J].计算力学学报,2018,35(2):188~194
四维超混沌系统Hopf分岔分析与反控制
Hopf bifurcation analysis and anti-control of bifurcation of a four-dimensional hyperchaotic systems
Hopf bifurcation analysis and anti-control of bifurcation of a four-dimensional hyperchaotic systems
投稿时间:2017-03-13  修订日期:2017-09-05
DOI:10.7511/jslx20170313005
中文关键词:  超混沌系统  Hopf分岔  混合控制器  分岔反控制
英文关键词:hyperchaotic system  Hopf bifurcation  combined controller  anti-control of bifurcation
基金项目:国家自然科学基金(11372102)资助项目.
作者单位E-mail
张良 湖南大学 机械与运载工程学院, 长沙 410082 lzhang08@163.com 
唐驾时 湖南大学 机械与运载工程学院, 长沙 410082  
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中文摘要:
      对超混沌系统进行分岔反控制的研究已成为当前一个重要研究方向,常采用线性控制器实现反控制。首先,对一个四维超混沌系统的Hopf分岔特性进行了分析,利用高维分岔理论推导出分岔特性与参数之间的关系式,以此判断系统的分岔类型。然后,设计一个由线性与非线性组合成的混合控制器对系统进行分岔反控制,控制参数取值不同时,系统会呈现出不同的分岔特性。通过分析得出,调控线性控制器参数可以使系统Hopf分岔提前或延迟发生;同时,调控混合控制器的两个控制参数,可以改变系统Hopf分岔特性,实现分岔反控制。
英文摘要:
      Anti-control of bifurcation of hyperchaotic systems is a new field of nonlinear scientific research.It is often implement through a linear controller in most cases.In this paper,the Hopf bifurcation behaviors of a four-dimensional hyper chaotic system are studied,and the relationships between the bifurcation characteristics and parameters are obtained by using the high dimensional bifurcation theory,to determine the bifurcation type of the system.Then a combined linear and nonlinear controller is designed for anti-control of bifurcation.At different control parameter values,the systems exhibits different bifurcation characteristics.The results show that through changing the linear controller parameters,the system Hopf bifurcation can be moved forward or delayed.Through changing two controller parameters,Hopf bifurcation characteristics of the system can be modified to achieve anti-control of bifurcation.
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