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《College Mathematies》 2004-06
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On Chaos and Topologically Strongly Mixing

FAN Qin-jie(Jilin Normal University,Siping 136000, China)  
We discuss the following relations between topologically strongly mixing, Li—Yorke chaos and Devaney Chaos modified in compact systems. We get (i) Li—Yorke chaos doesn't imply Devaney Chaos modified, the converse also is true. (ii) Each of Li—Yorke chaos and Devaney Chaos modified doesn't imply topologically strongly mixing.
【Fund】: 国家自然科学基金资助项目(19971035)
【CateGory Index】: O189.11
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【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 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 GUAN Peng(School of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);The Generalization Based on "Sensitive Dependence on Initial Condition" in the Topology Dynamical System[J];Journal of Gansu Lianhe University(Natural Science Edition);2007-03
4 ZHU Li-sa1,LIU Jun-jie2 (1.College of Applied Science,Jilin Teachers Institute of Engineering and Technology,Changchun Jilin 130052,China;2.Dehui 23th Middle School,Dehui Jilin 130326,China);Pseudo-orbit Tracing Property and Equicontinuity[J];Journal of Jilin Teachers Institute of Engineering and Technology;2010-02
5 LI Cui-mei,FAN Qin-jie(College of Mathematics,Jilin Normal University,Siping 136000,China);Relationship between positive topological entropy and chaos[J];Journal of Changchun University of Technology(Natural Science Edition);2008-06
6 CHEN Yong-sheng,FAN Qin-jie(College of Mathematics,Jilin Normal University,Siping 136000,Jilin);Chaos for the Subsystems from Substitutions of Non-constant Length[J];Journal of Sichuan Normal University(Natural Science);2008-06
7 LI Cui-mei,FAN Qin-jie (College of Mathematics,Jilin Normal University,Siping 136000,China);The Schweizer-Smital Chaos Doesn't Equal to the Modified Devaney Chaos[J];Jilin Normal University Journal(Natural Science Edition);2009-01
8 HAO Chun-bao,FAN Qin-jie(College of Mathematics,Jilin Normal University,Siping 136000,China);Research of Generator and Expansionary[J];Jilin Normal University Journal(Natural Science Edition);2011-04
9 HAO Chun-bao,FAN Qin-jie,MENG Ming(College of Mathematics,Jilin Normal University,Siping 136000,China);Expansion of variable-parameter dynamical system[J];Journal of Shenyang Normal University(Natural Science Edition);2012-01
10 ZOU Cheng1,ZHAO Qing-jun2(1.Department of Basic Science,Sichuan College of Chemical Technology,Sichuan Luzhou 646005,China; 2.School of Mathematics and Statistics,Chongqing University of Arts and Sciences, Chongqing 402160,China);Several Properties of Asymptotic Periodic Point[J];Journal of Chongqing Technology and Business University(Natural Science Edition);2011-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 FAN Qin-jie (Department of Mathemdtics, Siping Normol College, Siping 136000, P. R. China) WANG Hui;LIAO Gong-fu (Department of Mathematics, Jilin University, Chanpchun 130023, P. R. China);Chaos for the Subsystems from Substitutions of Constant Length on Two Symbols[J];ACTA MATHEMATICA SINICA;2000-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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);SOME DYNAMICAL PROPERTIES OF TREE MAP[J];Journal of Anhui Normal University(Natural Science);2002-01
2 MENG Xin,FAN Qin-jie(College of Mathematics,Jilin Normal University,Siping Jilin 136000,China);The Decision for a Class of Proximal Lift Systems[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-04
3 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
4 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
5 LI Nan(Mathematics College,Jilin Normal University,Siping 136000,China);Chaotic behaviors of dense of almost periodic points[J];Journal of Changchun University;2011-02
6 ZHANG Yan,SHI Ming(Mathematics Teaching and Research Department,Sanya College,Sanya 572022,China);The Limit Behavior of Set-valued Discrete Dynamics[J];Journal of Changchun University;2012-06
7 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
8 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
9 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
10 WANG Li-dong,CHEN Zhi-zhi (Research Institute of Nonlinear Information Technology Dalian Nationalities University ,Dalian Liaoning 116600,China);The Chaotic Properties of a Class of Minimal Sub-shift on Symbolic Space[J];Journal of Dalian Nationalities University;2003-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 GU Rong-bao,SHENG Ye-qing (Department of Mathematics,Anhui University,Hefei230039,China );On the asymptotic pseudo orbit tracing property[J];Journal of Anhui University(Natural Sciences);2003-03
2 LIN Yin-he~(1,2)(1.College of Mathematics and Physics,Lishui University,Lishui Zhejiang 323000;2.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);A Note about the Chaotic Set and the Asymptotic Periodic Point[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2006-04
3 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
4 Huang Xiangqing(Hefei Anhui Province, 230011);A Sufficient Condition of Chaos[J];Journal of Chengdu University (Natural Science);2001-04
5 Jin Yuguang (Department of Mathematics);CHAOTIC BEHAVIOUR OF THE SELF-MAPPING OF THE CIRCLE[J];Journal of Chongqing Teachers College(Natural Science Edition);1991-03
6 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
7 Jin Yuguang(Dept.of Mathematics,Chongqing Teachers College,Chongqing, 630047);On Topological Entropy of A Class of Self-mappings[J];JOURNAL OF CHONGQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);1995-01
8 Hu Yang;Ruan Jiong (Department of Mathematics);A note on Devaney's definition of chaos[J];;1995-02
9 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
10 XIE Zhou,WANG Xiao-fan(Department of Automation,Shanghai Jiao Tong University,Shanghai 200240,China);An Overview of Algorithms for Analyzing Community Structure in Complex Networks[J];Complex Systems and Complexity Science;2005-03
【Secondary References】
Chinese Journal Full-text Database 4 Hits
1 WU Shu-hua,QU Shuang-hui,YU Jin-jiang,MA Zhi-chun(Department of Physics and Electrical Information Engineering,Shijiazhuang Normal College,Shijiazhuang Hebei 050035,China);The Calculation Methods about Periodic Window in Chaotic System[J];Journal of Jiangxi Normal University(Natural Science Edition);2012-02
2 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
3 Tian Chuanjun;Chen Guanrong;College of Information Engineering,Shenzhen University;;Chaos of time-varying discrete spatiotemporal systems[J];Journal of Shenzhen University Science and Engineering;2013-05
4 GENG Xue-ping;JIN Yu-guang;School of Mathematics,Chongqing Normal University;;Strong Invariant Set in Topological Power System[J];Journal of Chongqing Technology and Business University(Natural Science Edition);2013-12
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 Wen Zhiying & Wen Zhixiong(Wuhan University);Sequences of Substitutions and Related Topics[J];Advances In Mathematics;1989-03
2 Xiong Jincheng (International Centre for Theoretical Physics, Trieste, Italy Department of Mathematics, University of Science and Technology of Cnina, Hefei, Anhui,China~**);A CHAOTIC MAP WITH TOPOLOGICAL ENTROPY[J];数学物理学报(英文版);1986-04
3 Xi Liqun (Zhejiang Institute of Silk Textiles. Hangzhou, 310033) Chen Gang(陈 刚) (Zhejiang University, Hangzhou, 310027);SUBSTITUTION SEQUENE, STRONGLY NIL PROPERTY AND CHAOS[J];JOURNAL OF MATHEMATICS;1997-02
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