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Experimental verification of multidirectional multiscroll chaotic attractors

文献类型:期刊论文

作者Lu, JH; Yu, S; Leung, H; Chen, G
刊名IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
出版日期2006
卷号53期号:1页码:149-165
关键词circuit implementation hysteresis series multidirectional chaotic attractor multiscroll chaotic attractor saturated series
ISSN号1057-7122
DOI10.1109/TCSI.2005.854412
英文摘要A systematic methodology for circuit design is proposed for experimental verification of multidirectional multiscroll chaotic attractors, including one-directional (1-D) n-scroll, 2-D n x m-grid scroll, and 3-D n x m x l-grid scroll chaotic attractors. Two typical cases are investigated in detail: the hysteresis and saturated multiscroll chaotic attractors. A simple blocking circuit diagram is designed for experimentally verifying 1-D 5 similar to 11-scroll, 2-D 3 x 5 similar to 11-grid scroll, and 3-D 3 x 3 x 5 similar to 11-grid scroll hysteresis chaotic attractors by manipulating the switchers. Moreover, a block circuitry is also designed for physically realizing 1-D 10, 12, 14-scroll, 2-D 10, 12, 14 x 10-grid scroll, and 3-D 10 x 10 x 10-grid scroll saturated chaotic attractors via switching. In addition, one can easily realize chaotic attractors with a desired odd number of scrolls by slightly modifying the corresponding voltage saturated function series of the circuit, to produce for instance a 1-D 13-scroll saturated chaotic attractor. This is the first time in the literature to report an experimental verification of a 1-D 14-scroll, a 2-D 14 x 10-grid scroll and a 3-D 10 x 10 x 10-grid (totally 1000) scroll chaotic attractors. Only the 3-D case is reported in detail for simplicity of presentation. It is well known that hardware implementation of 1-D n-scroll with n >= 10, 2-D n x m-grid scroll with n, m >= 10, and 3-D n x m x l-grid scroll with n, m, l >= 10 chaotic attractors is very difficult technically, signifying the novelty and significance of the achievements reported in this paper. Finally, this circuit design approach provides some principles and guidelines for hardware implementation of chaotic attractors with a multidirectional orientation and with a large number of scrolls, useful for future circuitry design and engineering applications.
WOS研究方向Engineering
语种英语
WOS记录号WOS:000234724700015
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/2428]  
专题系统科学研究所
通讯作者Lu, JH
作者单位1.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Princeton Univ, Dept Ecol & Evolutionary Biol, Princeton, NJ 08540 USA
3.Guangdong Univ Technol, Coll Automat, Guangzhou 510090, Peoples R China
4.Univ Calgary, Dept Elect & Comp Engn, Calgary, AB T2N 1N4, Canada
5.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714
Lu, JH,Yu, S,Leung, H,et al. Experimental verification of multidirectional multiscroll chaotic attractors[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2006,53(1):149-165.
APA Lu, JH,Yu, S,Leung, H,&Chen, G.(2006).Experimental verification of multidirectional multiscroll chaotic attractors.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,53(1),149-165.
MLA Lu, JH,et al."Experimental verification of multidirectional multiscroll chaotic attractors".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 53.1(2006):149-165.

入库方式: OAI收割

来源:数学与系统科学研究院

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