Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors
文献类型：期刊论文
| 作者 | Yu, Simin; Lu, Jinhu ; Chen, Guanrong
|
| 刊名 | IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
 |
| 出版日期 | 2007-09-01 |
| 卷号 | 54期号:9页码:2087-2098 |
| 关键词 | fourth-order double-torus chaotic circuit multidirectional multi-torus (MDMT) attractor saturated function series step function series |
| ISSN号 | 1549-8328 |
| DOI | 10.1109/TCSI.2007.904651 |
| 英文摘要 | This paper introduces a novel fourth-order double-torus chaotic circuit. Based on this basic circuit, a systematic theoretical design approach is proposed for generating 1-D n torus, 2-D n x m-torus, 3-D n X m x 1 torus, and 4-D n x m x 1 x p torus chaotic attractors. This is the first autonomous circuit reported in the literature for generating multidirectional multi-torus (MDMT) chaotic attractors. The dynamical behaviors of these MDMT chaotic systems are further investigated, including equilibrium points, bifurcations, Lyapunov exponents, and Poincare maps. Theoretical analysis shows that the MDMT chaotic attractors can be generated by switching and displacing a basic linear circuit. Finally, a block circuit diagram is designed for hardware implementation of the MDMT chaotic attractors. This is also the first time in the literature to experimentally verify a maximal 1-D 20-torus, a maximal 2-D 5 x 5 torus, and a maximal 4-D 5 x 5 x 3 x 3 torus chaotic attractors. |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000249730800022 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4748]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yu, Simin |
| 作者单位 | 1.Guandong Univ Technol, Coll Automat, Guangzhou 510090, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China 3.Princeton Univ, Dept Ecol & Evolut Biol, Princeton, NJ 08544 USA 4.Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Simin,Lu, Jinhu,Chen, Guanrong. Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2007,54(9):2087-2098. |
| APA | Yu, Simin,Lu, Jinhu,&Chen, Guanrong.(2007).Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,54(9),2087-2098. |
| MLA | Yu, Simin,et al."Theoretical design and circuit implementation of multidirectional multi-torus chaotic attractors".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 54.9(2007):2087-2098. |
入库方式： OAI收割
来源：数学与系统科学研究院
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