BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS

doi:10.1142/S0218127411030003

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	BIFURCATION CONTROL FOR A CLASS OF LORENZ-LIKE SYSTEMS
	Yu, Pei 1; Lu, Jinhu2,3
	2011-09-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	21 期号:9 页码:2647-2664
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.
关键词	Lorenz-like systems bifurcation control feedback controller limit cycles chaos
DOI	10.1142/S0218127411030003
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000297068700017
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11625
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.