BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS | |
Yu, Pei1; Lu, Jinhu2,3 | |
刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
2011-09-01 | |
卷号 | 21期号:9页码:2647-2664 |
关键词 | Lorenz-like systems bifurcation control feedback controller limit cycles chaos |
ISSN号 | 0218-1274 |
DOI | 10.1142/S0218127411030003 |
英文摘要 | In this paper, a control method developed earlier is employed to consider controlling bifurcations in a class of Lorenz-like systems. Particular attention is focused on Hopf bifurcation control via linear and nonlinear stability analyses. The Lorenz system, Chen system and Lu system are studied in detail. Simple feedback controls are designed for controlling the stability of equilibrium solutions, limit cycles and chaotic motions. All formulas are derived in general forms including the system parameters. Computer simulation results are presented to confirm the analytical predictions. |
资助项目 | Natural Science and Engineering Research Council of Canada (NSERC) ; National Natural Science Foundation of China (NNSFC) |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
语种 | 英语 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
WOS记录号 | WOS:000297068700017 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11624] |
专题 | 系统科学研究所 |
通讯作者 | Yu, Pei |
作者单位 | 1.Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, ISS, LSC, Beijing 100080, Peoples R China 3.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3010, Australia |
推荐引用方式 GB/T 7714 | Yu, Pei,Lu, Jinhu. BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2011,21(9):2647-2664. |
APA | Yu, Pei,&Lu, Jinhu.(2011).BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,21(9),2647-2664. |
MLA | Yu, Pei,et al."BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 21.9(2011):2647-2664. |
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