Constructing hyperchaotic systems at will

doi:10.1002/cta.2062

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	Constructing hyperchaotic systems at will
	Shen, Chaowen 1; Yu, Simin 1; Lu, Jinhu2 ; Chen, Guanrong 3
刊名	INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
	2015-12-01
卷号	43 期号:12 页码:2039-2056
关键词	chaotification hyperchaotic system closed-loop poles assignment DSP realization Lyapunov exponents allocation
ISSN号	0098-9886
DOI	10.1002/cta.2062
英文摘要	Over the last two decades, chaotification has received increasing attention from various communities of science and engineering. This paper aims at developing a unified chaotification framework for generating desired higher-dimensional dissipative hyperchaotic systems by using a single-parameter controller. The main idea is to use a block diagonal matrix in the design of the nominal system, so as to construct a desired hyperchaotic system. Specifically, the proposed scheme is to assign desired closed-loop poles to the controlled system, allocating the corresponding numbers of eigenvalues with positive real parts at two types of saddle-focus equilibria. For the non-degenerate case, the number of positive Lyapunov exponents of the controlled system is given by the largest number of positive Lyapunov exponents of the desired hyperchaotic system. Two representative examples are given to illustrate and verify the proposed design method. Finally, the digital signal processor is employed to implement the above 10-dimensional hyperchaotic systems, and the experimental observation is also given. Copyright (C) 2015 John Wiley & Sons, Ltd.
资助项目	National Science and Technology Major Project of China[2014ZX10004-001-014] ; National Basic Research Program (973) of China[2014CB845302] ; National Natural Science Foundation of China[61025017] ; National Natural Science Foundation of China[61172023] ; National Natural Science Foundation of China[61201392] ; National Natural Science Foundation of China[11472290] ; National Natural Science Foundation of China[61203148] ; Specialized Research Foundation of Doctoral Subjects of Education Ministry of China[20114420110003] ; Hong Kong Research Grants Council (GRF Grant CityU)[112014]
WOS研究方向	Engineering
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000368421400016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21821]
专题	系统科学研究所
通讯作者	Lu, Jinhu
作者单位	1.Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China 3.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Shen, Chaowen,Yu, Simin,Lu, Jinhu,et al. Constructing hyperchaotic systems at will[J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS,2015,43(12):2039-2056.
APA	Shen, Chaowen,Yu, Simin,Lu, Jinhu,&Chen, Guanrong.(2015).Constructing hyperchaotic systems at will.INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS,43(12),2039-2056.
MLA	Shen, Chaowen,et al."Constructing hyperchaotic systems at will".INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS 43.12(2015):2039-2056.