| Star transformations and their genealogical varieties in symbolic dynamics of four letters | |
Liu, HZ1; Zhou, Z1; Peng SL(彭守礼)1,2,3
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| 发表期刊 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
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| 1998-10-23 | |
| 卷号 | 31期号:42页码:8431-8450 |
| DOI | 10.1088/0305-4470/31/42/004 |
| 产权排序 | 第3完成单位 |
| 收录类别 | SCI |
| 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. |
| 语种 | 英语 |
| 学科领域 | Physics |
| 文章类型 | Article |
| ISSN | 0305-4470 |
| URL | 查看原文 |
| WOS记录号 | WOS:000076844100004 |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Multidisciplinary ; Physics, Mathematical |
| 关键词[WOS] | BIMODAL MAPS ; TOPOLOGICAL-ENTROPY ; BEHAVIOR ; INTERVAL ; CAVITY |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ynao.ac.cn/handle/114a53/4018 |
| 专题 | 其他 |
| 通讯作者 | Liu, HZ |
| 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. |
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| Star transformations（291KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 请求全文 | |
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