Constructing hyperchaotic systems at will

doi:10.1002/cta.2062

CSpace > 系统科学研究所

	Constructing hyperchaotic systems at will
	Shen, Chaowen 1; Yu, Simin 1; Lu, Jinhu2 ; Chen, Guanrong 3
	2015-12-01
发表期刊	INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
ISSN	0098-9886
卷号	43 期号:12 页码:2039-2056
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.
关键词	chaotification hyperchaotic system closed-loop poles assignment DSP realization Lyapunov exponents allocation
DOI	10.1002/cta.2062
语种	英语
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
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000368421400016
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21822
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.