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Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers

文献类型：期刊论文

作者He, Jianbin1; Yu, Simin2; Lu, Jinhu3
刊名INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
出版日期2017-08-01
卷号27期号:9页码:12
关键词Chaos anti-control nondegenerate hyperchaotic system multiple controllers positive Lyapunov exponent
ISSN号0218-1274
DOI10.1142/S0218127417501462
英文摘要This paper proposes a new approach for constructing higher-dimensional nondegenerate hyperchaotic system with multiple controllers. Here, the so-called higher-dimensional nondegenerate hyperchaotic system means that it can be provided with a maximum number of positive Lyapunov exponents, which has been an open problem for research in recent years. The details of design are given by three steps as follows: (i) Design an n-dimensional nominal matrix and similarity transformation matrix, and get an asymptotic stable nominal system; (ii) Add a master controller for the nominal matrix and get the controlled system. Then, find suitable control positions such that the controlled system satisfies the average eigenvalue criterion, i.e. the number of average eigenvalues with positive real parts of all Jacobi matrices over a given period of time is equal to (n - 2), and the maximum value of average eigenvalues with positive real parts is greater than a given threshold T-h; (iii) Add nonmaster controllers, and the control positions are fixed and parameters are given in advance. So it can generate nondegenerate hyperchaotic systems with (n - 2) positive Lyapunov exponents. Finally, two typical examples are given to show the feasibility and effectiveness of the proposed method.
资助项目National Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[61671161] ; National Natural Science Foundation of China[61172023] ; Science and Technology Planning Project of Guangzhou[201510010136]
WOS研究方向Mathematics ; Science & Technology - Other Topics
语种英语
WOS记录号WOS:000410076200018
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26576]  
专题系统科学研究所
通讯作者He, Jianbin
作者单位1.Hangzhou Dianzi Univ, Elect & Informat Sch, Hangzhou 310018, Zhejiang, Peoples R China
2.Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 He, Jianbin,Yu, Simin,Lu, Jinhu. Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2017,27(9):12.
APA He, Jianbin,Yu, Simin,&Lu, Jinhu.(2017).Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,27(9),12.
MLA He, Jianbin,et al."Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 27.9(2017):12.

入库方式： OAI收割

来源：数学与系统科学研究院

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