| 联系区间映射与圆周映射的函数方程 |
| |
| 引用本文： | 陈芳跃. 联系区间映射与圆周映射的函数方程[J]. 数学学报, 1994, 37(2): 238-245. DOI: cnki:ISSN:05831431.0.1994-02-012 |
| |
| 作者姓名： | 陈芳跃 |
| |
| 作者单位： | 浙江师范大学数学系 |
| |
| 摘 要： | 在解释区间映射和圆周映射的数量普适性现象的理论中，有关的重整化群函数方程及其解起着关键作用。本文研究具有广泛意义的联系这两种映射的函数方程得到的主要结果是它存在无穷多个Ｃ￣∞解，且可用构造性方法给出，其参数的范围比［９］中的Ｄ大。最后还提出一些值得进一步研究的问题。
|
| 关 键 词： | 普适性，重整化群函数方程，C~∞的解 |
| 收稿时间： | 1991-06-12 |
| 修稿时间： | 1993-02-16 |
Functional Equations Connecting Interval Maps and Circle Maps |
| |
| Chen Fangyue. Functional Equations Connecting Interval Maps and Circle Maps[J]. Acta Mathematica Sinica, 1994, 37(2): 238-245. DOI: cnki:ISSN:05831431.0.1994-02-012 |
| |
| Authors: | Chen Fangyue |
| |
| Affiliation: | Chen Fangyue(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China) |
| |
| Abstract: | In the theory of the universal phenomenon obtained in the numerical research aboutinterval maps and circle maps,a key role is played by the renormalization group hinctionalequations and their solutions.This paper studies the functional equations connecting the twomaps The existence of its infinite C￣∞ solutions is shown by constructing method.The scope ofparameter is larger than D in[9]. Finaly, some further problems which need to be studied areposed. |
| |
| Keywords: | niversality renormalization group hinctional equations C￣∞ solutions |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
