Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers

doi:10.1142/S0218127417501462

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	Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers
	He, Jianbin 1; Yu, Simin 2; Lu, Jinhu3
	2017-08-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	27 期号:9 页码:12
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.
关键词	Chaos anti-control nondegenerate hyperchaotic system multiple controllers positive Lyapunov exponent
DOI	10.1142/S0218127417501462
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000410076200018
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26577
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.