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Distributional Chaoticity of the Minimal Subshift of Shift Operators: 《Journal of Applied Mathematics and Physics》2024年第5期1647-1660,共14页Yuanlin Chen Tianxiu Lu Jiazheng Zhao; This paper focus on the chaotic properties of minimal subshift of shift operators. It is proved that the minimal subshift of shift operators is uniformly distributional chaotic, distributional chaotic in a sequence, d...; 关键词：Shift Operators SUBSHIFT Distributional Chaoticity

Rational map ax+1/x on the projective line over Q2 Dedicated to the Memory of Professor Lei Tan被引量：1: 《Science China Mathematics》2018年第12期2221-2236,共16页Shilei Fan Lingmin Liao; supported by National Natural Science Foundation of China (Grant Nos. 11401236 and 11471132);Self-Determined Research Funds of Central China Normal University (Grant No. CCNU17QN0009); The dynamical structure of the rational map ax+1/x on the projective line P^1(Q_2) over the field Q_2 of 2-adic numbers, is fully described.; 关键词：P-ADIC dynamical system rational maps minimal decomposition SUBSHIFT of finite type

Transitivity and Chaoticity in 1-D Cellular Automata: 《International Journal of Modern Nonlinear Theory and Application》2013年第1期69-73,共5页Fangyue Chen Guanrong Chen Weifeng Jin; Recent progress in symbolic dynamics of cellular automata (CA) shows that many CA exhibit rich and complicated Bernoulli-shift properties, such as positive topological entropy, topological transitivity and even mixing...; 关键词：BERNOULLI SUBSHIFT of Finite Type Cellular AUTOMATA Devaney Chaos SYMBOLIC Dynamics TOPOLOGICAL TRANSITIVITY

Strong Mixing Subshift of Finite Type and Hausdorff Measure of Its Chaotic Set: 《Acta Mathematica Sinica,English Series》2011年第4期789-798,共10页Wan Gan SONG Zhi HU Hua Ming WU; Supported by National Natural Science Foundation of China （Grant No. 60763009）; We present a sufficient and necessary condition for the subshift of finite type to be a measure-preserving transformation or to be a strong mixing measure-preserving transformation with respect to the Hausdorff measur...; 关键词：Symbolic space a finite subshift chaotic set Hausdorff measure

A class of primitive substitutions and scrambled sets被引量：7: 《Science China Mathematics》2008年第3期369-375,共7页LIAO GongFu FAN QinJie WANG LiDong; the National Natural Science Foundation of China (Grant No. 10771084);the Education Department Foundation of Jilin Province (Grant No. 200568);the Foundations of Dalian Nationalities University and Jilin Normal University; Consider the subshifts induced by constant-length primitive substitutions on two symbols. By investigating the equivalent version for the existence of Li-Yorke scrambled sets and by proving the non-existence of Schwei...; 关键词：primitive substitution SUBSHIFT Li-Yorke scrambled set Schweizer-Smítal scrambled set 54H20 58F03 58F08

Chaos for Subshifts of Finite Type: 《Acta Mathematica Sinica,English Series》2005年第6期1407-1414,共8页Huo Yun WANGD Jin Cheng XIONG; National Natural Science Funds of China (10171034); This paper deals with chaos for subshifts of finite type. We show that for any subshift of finite type determined by an irreducible and aperiodic matrix, there is a finitely chaotic set with full Hausdorff dimension. ...; 关键词：SUBSHIFT CHAOS Hausdorff dimension Symbolic space

Dimension and measure theoretic entropy of a subshift in symbolic space被引量：6: 《Chinese Science Bulletin》1997年第14期1193-1196,共4页CHEN Ercai and XIONG Jincheng1. Department of Astronomy, Nanjing University, Nangjing 210093, China 2. Department of Mathematics, South China Normal University, Guangzhou 510631, China; 1 Definitions and resultsWITH the development of the theory of dynamical systems and fractal geometry, one provedthat symbolic dynamics is a powerful tool to study chaos and fractals. It is useful to study thefractal ...; 关键词：SYMBOLIC SPACE SUBSHIFT MEASURE theoretic ENTROPY dimension.

The Positive Topological Entropy Not Equivalent to Chaos——A Class of Subshifts: 《Science China Mathematics》1994年第6期653-660,共8页周作领廖公夫王兰宇; Project partially supported by the National Educational Foundation of China;by the National Basic Research Project "Nonlinear Science; In this paper,we have formed a class of the minimal chaotic subshifts having zero topological entropy and proved that the positive topological entropy is not equivalent to chaos occurring on the measure centre.; 关键词：compact system SUBSHIFT TOPOLOGICAL entropy CHAOS MINIMAL set

NECESSARY AND SUFFICIENT CONDITION OF STRONG CHAOS ON SELF-MAPPING OF SUBSHIFT OF FINITE TYPE: 《Science China Mathematics》1992年第1期32-41,共10页俞伯华; Project supported by the National Natural Science Foundation of China; In this paper, we give the necessary and sufficient condition of strong chaos on self-mapping subshift of finite type in the sense of Li-Yorke.; 关键词：semi-dynamical systems SUBSHIFT of finite type STRONG CHAOS simple directed cycle.

TOPOLOGICAL ENTROPY FOR ANOSOV MAPS: 《Chinese Science Bulletin》1991年第23期1948-1952,共5页孙文祥; Seeking conjugate invariant is one of significant and general topics on dynamical systems. Few invariants have been found so far. Topological entropy is one of such invariants. Studies about the topological entropy ar...; 关键词：MARKOV PARTITION finite SUBSHIFT TOPOLOGICAL ENTROPY

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