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检索条件"主题词=Derived set"
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Topological Structure of Non-wandering set of a Graph Map
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Acta Mathematica Sinica,English Series 2005年 第4期21卷 873-880页
作者: Rong Bao GU Tai Xiang SUN Ting Ting ZHENG School of Finance Nanjing University of Finance and Economics Nanjing 210046 P. R. China Department of Mathematics Guangxi University Nanning 530004 P. R. China Department of Mathematics University of Science and Technology of China Department of Mathematics Anhui University Hefei 230039 P. R. China
Let G be a graph (i.e., a finite one-dimensional polyhedron) and f : G → G be a continuous map. In this paper, we show that every isolated recurrent point of f is an isolated non-wandering point; every accumulatio... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
THE ASYMPTOTIC PERIODICITY OF LORENZ MAPS
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Acta Mathematica Scientia 1999年 第1期19卷 114-120页
作者: 丁义明 范文涛 Chinese Acad Sci Wuhan Inst Phys & Math Wuhan 430071 Peoples R China
A Lorenz map f : I --> I is a one dimensional piecewise monotone map with a single discontinuity c. Let [GRAPHICS] be the collection of all the preimsges of c. Authors prove that if C'(f) is countable then there exist... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
THE ASYMPTOTIC PERIODICITY OF PIECEWISE MONOTONE SELFMAPS OF THE INTERVAL
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Acta Mathematica Scientia 2004年 第4期24卷 698-704页
作者: 丁义明 Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan 430071 Chinaet 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.
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... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论