Star transformations and their genealogical varieties in symbolic dynamics of four letters
文献类型：期刊论文
| 作者 | Liu, HZ1; Zhou, Z1; Peng SL(彭守礼)1,2,3
|
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| 出版日期 | 1998-10-23 |
| 卷号 | 31期号:42页码:8431-8450 |
| ISSN号 | 0305-4470 |
| 产权排序 | 第三完成单位 |
| 通讯作者 | Liu, HZ |
| 英文摘要 | The composition rules of period-tripling and period-doubling in symbolic dynamics of four letters are proposed. The methods to generate various singly and doubly superstable kneading sequences from triply superstable kneading sequences are given. These composition rules and methods will present all the essential elements in the three-dimensional parameter space,including the 'joint','bones', 'membrane surfaces' on the 'skeleton' and many fractal objects constructed by period-doubling and period-tripling bifurcations. It is shown that the generalization from unimodal and bimodal to trimodal maps is not trivial. And the promptly exponential growth in the kinds of star transformations is even seen when the number of critical points (or parameters) of the map increases. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Multidisciplinary ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | BIMODAL MAPS ; TOPOLOGICAL-ENTROPY ; BEHAVIOR ; INTERVAL ; CAVITY |
| 收录类别 | SCI |
| 原文出处 | http://iopscience.iop.org/0305-4470/31/42/004/ |
| 语种 | 英语 |
| WOS记录号 | WOS:000076844100004 |
| 源URL | [http://ir.ynao.ac.cn/handle/114a53/4018]  |
| 专题 | 云南天文台_其他 |
| 作者单位 | 1.Center for Nonlinear Complex Systems, Department of Physics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China 2.CCAST (World Laboratory), PO Box 8730, Beijing 100080, People's Republic of China 3.Yunnan Observatory, Chinese Academy of Sciences, PO Box 110, Kunming, Yunnan 650011, People's Republic of China |
| 推荐引用方式 GB/T 7714 | Liu, HZ,Zhou, Z,Peng SL. Star transformations and their genealogical varieties in symbolic dynamics of four letters[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1998,31(42):8431-8450. |
| APA | Liu, HZ,Zhou, Z,&Peng SL.(1998).Star transformations and their genealogical varieties in symbolic dynamics of four letters.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,31(42),8431-8450. |
| MLA | Liu, HZ,et al."Star transformations and their genealogical varieties in symbolic dynamics of four letters".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 31.42(1998):8431-8450. |
入库方式： OAI收割
来源：云南天文台
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