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A new chaotic system and beyond: The generalized Lorenz-like system
文献类型：期刊论文
| 作者 | Lu, JH ; Chen, GR; Cheng, DZ
|
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2004-05-01 |
| 卷号 | 14期号:5页码:1507-1537 |
| 关键词 | multi-scroll chaotic attractor chaotification three-dimensional quadratic autonomous system Lorenz-like system normal form |
| ISSN号 | 0218-1274 |
| 英文摘要 | This article introduces a new chaotic system of three-dimensional quadratic autonomous ordinary differential equations, which can display (i) two 1-scroll chaotic attractors simultaneously, with only three equilibria, and (ii) two 2-scroll chaotic attractors simultaneously, with five equilibria. Several issues such as some basic dynamical behaviors, routes to chaos, bifurcations, periodic windows, and the compound structure of the new chaotic system are then investigated, either analytically or numerically. Of particular interest is the fact that this chaotic system can generate a complex 4-scroll chaotic attractor or confine two attractors to a 2-scroll chaotic attractor under the control of a simple constant input. Furthermore, the concept of generalized Lorenz system is extended to a new class of generalized Lorenz-like systems in a canonical form. Finally, the important problems of classification and normal form of three-dimensional quadratic autonomous chaotic systems are formulated and discussed. |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000222815200001 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19163]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Lu, JH |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, JH,Chen, GR,Cheng, DZ. A new chaotic system and beyond: The generalized Lorenz-like system[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2004,14(5):1507-1537. |
| APA | Lu, JH,Chen, GR,&Cheng, DZ.(2004).A new chaotic system and beyond: The generalized Lorenz-like system.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,14(5),1507-1537. |
| MLA | Lu, JH,et al."A new chaotic system and beyond: The generalized Lorenz-like system".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14.5(2004):1507-1537. |
入库方式： OAI收割
来源：数学与系统科学研究院
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