COUNTING THE NUMBER OF PERIODS IN ONE-DIMENSIONAL MAPS WITH MULTIPLE CRITICAL-POINTS
文献类型：期刊论文
| 作者 | XIE, FG; HAO, BL |
| 刊名 | PHYSICA A
 |
| 出版日期 | 1994 |
| 卷号 | 202期号:40910页码:237-263 |
| 关键词 | Symbolic Dynamics Cubic Map Endomorphisms Cycles |
| ISSN号 | 0378-4371 |
| 英文摘要 | The problem of counting the number of different periodic orbits in continuous maps of an interval is solved. A map with m monotone pieces (laps) and m - 1 critical points may have at most m - 1 independent kneading sequences, which provide the most convenient parameters for the map. When one or more kneading sequences are kept constant or bound to vary simultaneously, Various degenerated cases of the map arise. The number of period n orbits of the general m-lap map as well as various degenerated cases is given by combinations of N-k(n) with k equal to or less than m, where N-m(n) is the number of period n orbits of a particular kind of degenerated m-lap map with only one kneading sequence. The quantity N-m(n) may be calculated or enumerated by many different methods, which are all discussed in this paper. We also give tabulated values for N-m(n) for m = 2 to 7. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/11970]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | XIE, FG,HAO, BL. COUNTING THE NUMBER OF PERIODS IN ONE-DIMENSIONAL MAPS WITH MULTIPLE CRITICAL-POINTS[J]. PHYSICA A,1994,202(40910):237-263. |
| APA | XIE, FG,&HAO, BL.(1994).COUNTING THE NUMBER OF PERIODS IN ONE-DIMENSIONAL MAPS WITH MULTIPLE CRITICAL-POINTS.PHYSICA A,202(40910),237-263. |
| MLA | XIE, FG,et al."COUNTING THE NUMBER OF PERIODS IN ONE-DIMENSIONAL MAPS WITH MULTIPLE CRITICAL-POINTS".PHYSICA A 202.40910(1994):237-263. |
入库方式： OAI收割
来源：理论物理研究所
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