| 一类非本原代换系统的拓扑熵与混沌 |
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| 引用本文： | 楚振艳,廖丽.一类非本原代换系统的拓扑熵与混沌[J].吉林大学学报(理学版),2011,49(6):1053-1054. |
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| 作者姓名： | 楚振艳 廖丽 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012,2. 大连民族学院 数学系, 辽宁 大连 116600;3. 北京应用物理与计算数学研究所, 北京 100094 |
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| 基金项目： | 国家自然科学基金(批准号:10771084); 中国工程物理研究院科学技术发展基金(批准号:2009B0403047) |
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| 摘 要： | 令f表示由符号集{0,1}上非本原且非等长代换诱导的系统.考虑f的拓扑熵及发生混沌性态的可能性,证明了f的拓扑熵为零,并给出了f不含分布混沌对的充分条件.
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| 关 键 词： | 代换系统 混沌 拓扑熵 |
| 收稿时间： | 2011-08-16 |
Topological Entropy and Chaos for a Class of Non-primitive Substitution Systems |
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| CHU Zhen-yan,LIAO Li.Topological Entropy and Chaos for a Class of Non-primitive Substitution Systems[J].Journal of Jilin University: Sci Ed,2011,49(6):1053-1054. |
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| Authors: | CHU Zhen-yan LIAO Li |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Mathematics, Dalian Nationalities University, Dalian 116600, Liaoning Province, China;3. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China |
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| Abstract: | Let f denote a system induced by a non-primitive and non-constant-length substitution over the alphabet {0,1}.We investigated the topological entropy of f and the possibilities for f to occur chaotic behaviors and proved that the topological entropy of f is zero,and gave a sufficient condition for f to contain no distributively chaotic pairs. |
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| Keywords: | substitution system chaos topological entropy |
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