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《Journal of Zhejiang University(Sciences Edition)》 2003-05
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A note on expansive homeomorphisms.

SHI En-hui~1, ZHOU Li-zhen~1,2 (1.Department of Mathematics, Zhejiang University, Hangzhou 310027, China; 2. Department of Mathematics, Suzhou University, Suzhou 215006, China)  
Using the symbolic method, the following conclusion is given: If X is a Peano continuum, f is an expansive homeomorphism on X with expansive constant c . If A is a closed subset of X , X-A has only finite connected components with diameter of each component less than c , then X=∪+∞n=-∞fn(A) . As an application of this conclusion, a new proof of the nonexistence of expansive homeomorphisms on the closed unit interval is given.
【Fund】: 国家自然科学基金(No.10071069)资助项目;; 苏州大学青年基金(No.Q3107222)资助项目.
【CateGory Index】: O189
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 ZHOU Li-zhen+1, ZHOU You-cheng+2 (1.Department of Mathematics, Suzhou University, Suzhou 215006, China; 2.Department of Mathematics, Zhejiang University, Hangzhou 310027, China);Some dynamical properties of continuous maps on the k-Warsaw circle.[J];Journal of Zhejiang University(Sciences Edition);2002-01
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 XING Zhitao(Faculty of Mathematics and Information Sciences,Zhaoqing University,Zhaoqing Guangdong 526061,China);Chaos Generated by Continuous Maps on k-Warsaw Circle[J];Journal of Zhaoqing University;2009-02
2 Niu Yingxuan(Departmet of Mathematics and Physics,West Anhui University,Anhui Lu'an,237012);Some Dynamical Properties of Continuous Self-maps On Warsaw Circle[J];Journal of West Anhui University;2006-05
3 NIU Ying-xuan1,LUO Zhi-ming2,3(1.Department of Mathematics and Physicas,Wanxi College,Liuan 237012;2.College of Mathematics Sciences and Computational Technology,Central South University,Changsha 410087;3.Department of Information,Hunan Business College,Changsha 410205 China);The Nonwandering Point Set of a Continuous Self-Map on Warsaw Circle[J];Natural Science Journal of Xiangtan University;2008-04
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Xiong Jincheng (Departmeat of Mathematics,South China Normal University, Guangzhou 510631, China)Ye Xiangdong; Zhang Zhiqiang; Huang Jun(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China);Some Dynamical Properties of Continuous Maps on the Warsaw Circle[J];ACTA MATHEMATICA SINICA;1996-03
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