| THE ASYMPTOTIC PERIODICITY OF PIECEWISE MONOTONE SELFMAPS OF THE INTERVAL |
| |
| 作者姓名： | 丁义明 |
| |
| 作者单位： | WuhanInstituteofPhysicsandMathematics,TheChineseAcademyofSciences,Wuhan430071,China |
| |
| 基金项目： | This work is partially supported by the NSFC (No.60174048,70271076) |
| |
| 摘 要： | Let f : I → I be a piecewise monotone interval map. The critical point set C(f) of f consists of all the preimages of its turning points. It is proved that the complex dynamical behaviors of f are all concentrated on the derived set of C(f). f is asymptotically periodic if and only if the derived set of C(f) is countable.
|
| 关 键 词： | 不连续映射 周期渐进 导出集 动力学 数理方程 |
THE ASYMPTOTIC PERIODICITY OF PIECEWISE MONOTONE SELFMAPS OF THE INTERVAL |
| |
| Ding Yiming Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan ,China.THE ASYMPTOTIC PERIODICITY OF PIECEWISE MONOTONE SELFMAPS OF THE INTERVAL[J].Acta Mathematica Scientia,2004,24(4):698-704. |
| |
| Authors: | Ding Yiming Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan China |
| |
| Institution: | Ding Yiming Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 430071,China |
| |
| Abstract: | Let f : I → I be a piecewise monotone interval map. The critical point set C(f) of f consists of all the preimages of its turning points. It is proved that the complex dynamical behaviors of f are all concentrated on the derived set of C(f). f is asymptotically periodic if and only if the derived set of C(f) is countable. |
| |
| Keywords: | Interval map asymptotically periodic derived set |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
