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Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers
He, Jianbin1; Yu, Simin2; Lu, Jinhu3
2017-08-01
Source PublicationINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN0218-1274
Volume27Issue:9Pages:12
AbstractThis 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.
KeywordChaos anti-control nondegenerate hyperchaotic system multiple controllers positive Lyapunov exponent
DOI10.1142/S0218127417501462
Language英语
Funding ProjectNational 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 Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000410076200018
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26577
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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