ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS
文献类型：期刊论文
| 作者 | Wang, Pei1; Li, Damei1; Wu, Xiaoqun1; Lu, Jinhu3 ; Yu, Xinghuo2
|
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 21期号:9页码:2679-2694 |
| 关键词 | Ultimate bound estimation high dimensional quadratic autonomous systems chaos optimization |
| ISSN号 | 0218-1274 |
| DOI | 10.1142/S0218127411030027 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000297068700019 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12048]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。