Complex dynamics in a permanent-magnet synchronous motor model
文献类型：期刊论文
| 作者 | Jing, ZJ; Yu, C; Chen, GR |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2004-11-01 |
| 卷号 | 22期号:4页码:831-848 |
| ISSN号 | 0960-0779 |
| DOI | 10.1016/j.chaos.2004.02.054 |
| 英文摘要 | This paper characterizes the complex dynamics of the permanent-magnet synchronous motor (PMSM) model with a non-smooth-air-gap, extending the work on the smooth case studied elsewhere. The stability, the number of equilibrium points, and the pitchfork and Hopf bifurcations are analyzed by using bifurcation theory and the center manifold theorem. Numerical simulations not only confirm the theoretical analysis results but also show some more new results including the period-doubling bifurcation, cyclic fold bifurcation, single-scroll and double-scroll chaotic attractors, ribbon-chaotic attractor, as well as intermittent chaos that are different from those reported in the literature before. Moreover, analytical expressions of an approximate stability boundary are given, by computing the local quadratic approximation of the two-dimensional stable manifold at an order-2 saddle point. Combining the existing results with the new results reported in this paper, a fairly complete description of the complex dynamics of the PMSM model is now obtained. (C) 2004 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000223243700010 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/845]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, GR |
| 作者单位 | 1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 2.Hunan Natl Univ, Dept Math, Changsha 410081, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jing, ZJ,Yu, C,Chen, GR. Complex dynamics in a permanent-magnet synchronous motor model[J]. CHAOS SOLITONS & FRACTALS,2004,22(4):831-848. |
| APA | Jing, ZJ,Yu, C,&Chen, GR.(2004).Complex dynamics in a permanent-magnet synchronous motor model.CHAOS SOLITONS & FRACTALS,22(4),831-848. |
| MLA | Jing, ZJ,et al."Complex dynamics in a permanent-magnet synchronous motor model".CHAOS SOLITONS & FRACTALS 22.4(2004):831-848. |
入库方式： OAI收割
来源：数学与系统科学研究院
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