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《Journal of Anhui Normal University(Natural Science)》 2002-01
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SOME DYNAMICAL PROPERTIES OF TREE MAP

ZHU Ye-ming 1, QIAO Zong-min 2 (1.The Editorial Department of Anhui University, Hefei 230039, China;2. Department of Mathematics, Anhui Educational College, Hefei 230061, China)  
In this paper, we concern three problems: the character of tree map whose periodic points form a closed set; some necessary conditions of tree map with zero topological entropy; and the relations between chaotic map set and invariant measure. These results extent the conclusion on interval.
【CateGory Index】: O192
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHU Ye ming 1, QIAO Zong min 2 (1.The Editorial House of Anhui University, Hefei 230039, China; 2.Dept. of Mathematics, Anhui Education College, Hefei 230061, China);Some sufficient and necessary conditions of the tree map with zero entropy[J];Journal of Hefei University of Technology(Natural Science);2002-02
【Citations】
Chinese Journal Full-text Database 2 Hits
1 DU Feng zhi (Department of Finance and Economics, Anshan Normal College, Anshan, 114005) WANG Li juan (Department of Mathematics, Jilin University, Changchun, 130023);The Invariant Probability Measures of Scramble Sets[J];ACTA SCIENTIARIUM NATURALIUM UNIVERSITATIS JILINENSIS;2000-02
2 Jiang Haijing (Wuxi Radio and Television University, Wuxi 214021);A NOTE ON WEAKLY ALMOST PERIODIC POINT[J];JOURNAL OF MATHEMATICS;1999-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Xiao song (Institute for Nonlinear Systems,Chongqing University of Posts and Telecommunications,Chongqing 400065);On the Control Features of Chaotic Dynamical Systems[J];Journal of Chongqing University of Posts and Telecommunications;1999-03
2 ZOU Cheng(Fundamental Department,Sichuan College of Chemical Technology,Luzhou 646005,China);a-Entropy Sets of Obits in Topological Dynamical Systems[J];Journal of Chengdu University(Natural Science Edition);2009-01
3 XI Feng-juan,CHENG Dan-dan,SONG Xiao-qian(Department of Mathematics,Northwest University,Xi'an 710127,China);Composite Dynamical System[J];Journal of Chongqing Institute of Technology(Natural Science);2008-12
4 CHENG Dan-dan,XI Feng-juan,SONG Xiao-qian(Department of Mathematics,Northwest University,Xi'an 710127,China);Composite Variable-parametric Discrete Dynamical System[J];Journal of Chongqing Institute of Technology(Natural Science);2009-03
5 CHEN Yan-fen (Dept.of Mathematics, Hanshan Teachers College, Chaozhou Guangdong 521041, China);Toppological Entropy of Compact Dynamical System for Continuous Mappings[J];Journal of Chongqing Teachers College(Natural Science Edition);2004-04
6 SOGN Xiao-qian,CHENG Dan-dan(Department of Mathematics,Northwest University,Xi′an 710127,China);On topological strong mixing and sensitive dependence on initial conditions[J];Basic Sciences Journal of Textile Universities;2008-04
7 JI Fei-yu1,LIU Lei2 (1.Department of Mathematics,Northwest University,Xi′an 710069,China;2.Department of Mathematics,Shangqiu Teachers University,Shangqiu,Henan 476000,China);Transitivity and chaos of a sequence of maps in a compact metric space[J];Basic Sciences Journal of Textile Universities;2008-04
8 ZHANG Hong~(1,2), ZHOU Shang-bo~2 (1.College of Computer Science and Engineering, Chongqing Institute of Technology, Chongqing 400050,China; 2.College of Computer Science and Engineering, Chongqing University, Chongqing 400030, China);Application of Chaos Theory in Cryptography[J];Journal of Chongqing University(Natural Science Edition);2004-04
9 FAN Qin-jie(Jilin Normal University,Siping 136000, China);On Chaos and Topologically Strongly Mixing[J];College Mathematies;2004-06
10 FAN Qin-jie1,WANG Hui1,WU Qing2(1 Department of Mathematics,Jilin Normal University,Siping 136000,China;2.Institute of Condensed Physics,Jilin Normal University,Siping 136000,China);The Properties of Crazy Dynamics[J];College Mathematics;2009-02
【Co-references】
Chinese Journal Full-text Database 4 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
2 Wen Lan(School of Mathematics Siences, Peking Univ., Beijing, 100871, P. R. China);A Brief Survey on Dynamical Systems[J];Advances In Mathematics;2002-04
3 Mai Jiehua ( Institute of Mathematics, Shantou University,Shangtou, Guangdong, 515063 );Some Dynamical Properties of Maps of the Circle and Their Equivalent Conditions[J];ADVANCES IN MATHEMATICS;1997-03
4 SUN Tai Xiang (Institute of Mathematics, Shantou University, Shantou 515063, P. R. China) (Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China);ω-Limit Sets and Turbulent of Tree Maps[J];Acta Mathematica Sinica;2002-02
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 JIAN Jun-min,Lü Jie(School of Mathematics,South China Normal University,Guangzhou 510631,China);A SUFFICIENT AND NECESSARY CONDITION OF DISTRIBUTIONAL CHAOS OF TREE MAPS[J];Journal of South China Normal University(Natural Science Edition);2006-04
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