ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS

doi:10.1142/S0218127411030027

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	ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS
	Wang, Pei 1; Li, Damei 1; Wu, Xiaoqun 1; Lu, Jinhu3 ; Yu, Xinghuo 2
	2011-09-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	21 期号:9 页码:2679-2694
摘要	This paper aims to propose a unified approach for the ultimate bound estimation of a class of High Dimensional Quadratic Autonomous Dynamical Systems (HDQADS). Using the proposed method and the optimization idea, a sufficient condition is then given for estimating the ultimate bounds of a class of HDQADS. To validate the above sufficient condition, this paper further investigates the ultimate bound estimation of a hyperchaotic system, a 6D and a 9D chaotic system, separately. Moreover, the ultimate bounds for a general Lorenz system, a low-order atmospheric circulation model, and a new 3D chaotic system are also discussed in detail. In particular, it should be pointed out that a unified and accurate ultimate bound estimation is attained for the generalized Lorenz system and it includes several well-known results as its special cases. Some numerical simulations are also given to verify and visualize the corresponding theoretical results.
关键词	Ultimate bound estimation high dimensional quadratic autonomous systems chaos optimization
DOI	10.1142/S0218127411030027
语种	英语
资助项目	National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60804039] ; National Natural Science Foundation of China[11072254] ; National Natural Science Foundation of China[61025017] ; National Basic Research (973) Program of China[2007CB310805] ; Australian Research Council (ARC)[FT0992226]
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000297068700019
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/12049
专题	系统科学研究所
通讯作者	Wang, Pei
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Pei,Li, Damei,Wu, Xiaoqun,et al. ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2011,21(9):2679-2694.
APA	Wang, Pei,Li, Damei,Wu, Xiaoqun,Lu, Jinhu,&Yu, Xinghuo.(2011).ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,21(9),2679-2694.
MLA	Wang, Pei,et al."ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 21.9(2011):2679-2694.