KMS Of Academy of mathematics and systems sciences, CAS
| Constructing hyperchaotic systems at will | |
Shen, Chaowen1; Yu, Simin1; Lu, Jinhu2 ; Chen, Guanrong3
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| 2015-12-01 | |
| Source Publication | INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
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| ISSN | 0098-9886 |
| Volume | 43Issue:12Pages:2039-2056 |
| Abstract | 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. |
| Keyword | chaotification hyperchaotic system closed-loop poles assignment DSP realization Lyapunov exponents allocation |
| DOI | 10.1002/cta.2062 |
| Language | 英语 |
| Funding Project | 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 Research Area | Engineering |
| WOS Subject | Engineering, Electrical & Electronic |
| WOS ID | WOS:000368421400016 |
| Publisher | WILEY-BLACKWELL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21822 |
| Collection | 系统科学研究所 |
| Corresponding Author | Lu, Jinhu |
| Affiliation | 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 |
| Recommended Citation 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. |
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