RENORMALIZATION AND alpha-LIMIT SET FOR EXPANDING LORENZ MAPS
文献类型：期刊论文
| 作者 | Ding, Yiming |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2011-03-10 |
| 卷号 | 29期号:3页码:979-999 |
| 关键词 | Expanding Lorenz map renormalization alpha-limit set |
| 产权排序 | 第一 |
| 英文摘要 | We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enables us to distinguish periodic and non-periodic renormalizations. Based on the properties of the periodic orbit with minimal period, the minimal completely invariant closed set is constructed. Topological characterizations of the renormalizations and alpha-limit sets are obtained via consecutive renormalizations. Some properties of periodic renormalizations are collected in Appendix. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | DOUBLE HOMOCLINIC LOOPS ; ATTRACTORS ; TRANSFORMATIONS ; DYNAMICS ; INVARIANTS ; ENTROPY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000284619800014 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1863]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yiming. RENORMALIZATION AND alpha-LIMIT SET FOR EXPANDING LORENZ MAPS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2011,29(3):979-999. |
| APA | Ding, Yiming.(2011).RENORMALIZATION AND alpha-LIMIT SET FOR EXPANDING LORENZ MAPS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,29(3),979-999. |
| MLA | Ding, Yiming."RENORMALIZATION AND alpha-LIMIT SET FOR EXPANDING LORENZ MAPS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 29.3(2011):979-999. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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