KMS Of Academy of mathematics and systems sciences, CAS
| Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers | |
He, Jianbin1; Yu, Simin2; Lu, Jinhu3
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| 2017-08-01 | |
| Source Publication | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| ISSN | 0218-1274 |
| Volume | 27Issue:9Pages:12 |
| Abstract | 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. |
| Keyword | Chaos anti-control nondegenerate hyperchaotic system multiple controllers positive Lyapunov exponent |
| DOI | 10.1142/S0218127417501462 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics ; Science & Technology - Other Topics |
| WOS Subject | Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences |
| WOS ID | WOS:000410076200018 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26577 |
| Collection | 系统科学研究所 |
| Corresponding Author | He, Jianbin |
| Affiliation | 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 |
| 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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