Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Zhejiang University(Sciences Edition)》 2002-01
Add to Favorite Get Latest Update

Some dynamical properties of continuous maps on the k-Warsaw circle.

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 are studied, show that: a \%k\%\|Warsaw circle need not be a Sarkovskii space; it has the \%PR\%\|property; for the self\|map on a \%k\%\|Warsaw circle, isolated chain recurrent points are eventually periodic; the depth of the center is not greater than 4; the topological entropy is zero provided that the periods of periodic points are the powers of 2; and transitive maps are equivalent to the chaos in the sense of Devaney.
【Fund】: 国家自然科学基金资助项目 (No.10 0 710 6 9)
【CateGory Index】: O189.1
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 5 Hits
1 NIU Ying-xuan(Dept.of Math.and Phys.,Wanxi College,Lu’an,Anhui 237012,China);Distality and Equicontinuity of Continuous Maps on the Warsaw Circle[J];College Mathematics;2010-05
2 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);A note on expansive homeomorphisms.[J];Journal of Zhejiang University(Sciences Edition);2003-05
3 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
4 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
5 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
【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
【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 NIU Ying-xuan(Dept.of Math.and Phys.,Wanxi College,Lu’an,Anhui 237012,China);Distality and Equicontinuity of Continuous Maps on the Warsaw Circle[J];College Mathematics;2010-05
2 XING Zhi-tao~1, WANG Huo-yun~2(1.Department of Mathematics of South China Normal University, Guangzhou 510405, China;2.School of Mathematics and Information Science, Guangzhou University, Guangzhou 510405, China);Chaos generated by continuous maps on Warsaw circle[J];Journal of Guangzhou University(Natural Science Edition);2005-01
3 ZHOU You-cheng~1 SU Xun-li~2 ZHAO Jun-ling~3 (1.Dept.of Math.,Suzhou Univ.,Suzhou 215006,China; 2.Dept.of Math.,Suzhou Univ.of Sci.and Tech.,Suzhou 215011,China; 3.Dept.of Math.,Guangxi Normal Univ.,Guilin 541004,China);Some topological and dynamical properties of Warsaw circle and its applications[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2007-04
4 XING Zhitao,FU Benlu(Department of Mathematics,Zhaoqing University,Guangdong Zhaoqing 526061,China);A Note on ω-limit Sets[J];Journal of Zhaoqing University;2006-02
5 Gou Jinfeng(Gollege of Urban Construction and Enviroment Protection Suzhou,Jiangsu 215006);STABILITY OF PERIODIC ORBITS OF MAP ON WARSAW CIRCLE[J];SONGLIAO JOURNAL (NATNRAL SCIENCE EDITION);1999-01
6 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
7 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
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 GUAN Peng,ZHANG Rong(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Devaney Chaos of Semigroup Action[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
2 ZHANG Rong,ZHANG Li-ping(School of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);The centre and depth of a class mapping with its square to be of type 2~∞[J];Journal of Changchun University;2007-04
3 SHI Xue-qing,JIN Yu-guang(School of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Notes about some point sets in topological space[J];Journal of Changchun University;2009-08
4 SHI Xue-qing(Department of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);A Note about the Iterative Point in Dynamics System[J];Journal of Chongqing Institute of Technology(Natural Science);2009-10
5 CHENG Wei(College of math and computer science,Chongqing Normal University,Chongqing 400047,China);About topology dynamic system in several set of points equivalent question[J];Journal of Chongqing Institute of Technology(Natural Science);2009-12
6 Jin Yuguang (Department of Mathematics);CHAOTIC BEHAVIOUR OF THE SELF-MAPPING OF THE UNIT SQUARE[J];Journal of Chongqing Teachers College(Natural Science Edition);1991-03
7 Jin Yuguang (Department of Mathematics);Necessary Condition of Continuous Self-mapping of a Class of the Square with Prime Periodic Points[J];Journal of Chongqing Teachers College(Natural Science Edition);1992-02
8 Jin Yuguang (Department of Mathematics);Periodic Orbit of Class Continuous Maps of the Square[J];Journal of Chongqing Teachers College(Natural Science Edition);1993-01
9 Jin Yuguang (Dept. of Mathematics, Chongqing Teachers College, Chongqing, 6 30047 ) Ye Wuqiong (Section of Finance, Chongqing Teachers College,Chonsqing, 630047 );On the Derived Set and Closure of a Class Self-mappings[J];Journal of Chongqing Teachers College(Natural Science Edition);1996-02
10 Jin Fuguang(Dept.of Mathematics ,Chongqing Teachers College,Chongqing,630017);On Self-mappings for Class n-dimensional[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1994-03
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Xiong Jincheng(University of Science and Technology of China);Dynamical Systems of Interval Maps:Nonwandering Set, Topological Entropy and Chaos[J];Advances In Mathematics;1988-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved