| 几乎周期性与SS混沌集 |
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| 引用本文： | 廖公夫,王立冬.几乎周期性与SS混沌集[J].数学年刊A辑(中文版),2002(6). |
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| 作者姓名： | 廖公夫 王立冬 |
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| 作者单位： | 吉林大学数学科学学院，吉林师范大学计算机科学系 长春 130012，吉林四平136000 大连民族学院数学系，辽宁大连116000 |
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| 基金项目： | 国家自然科学基金(No.19971035)资助的项目. |
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| 摘 要： | 引进正则移位不变集的概念,证明了有正则移位不变集的紧致系统在几乎周期点集中存在SS混沌集,特别地,具有正拓扑熵的区间映射在几乎周期点集中存在SS混沌集.
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| 关 键 词： | 紧致系统 几乎周期点 子移位 唯一遍历 SS混沌集 |
ALMOST PERIODICITY AND SS SCRAMBLED SET |
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| LIAO Gongfu WANG LidongCellege of Mathematical Sciences,Jilin University,Changchun ,China.ALMOST PERIODICITY AND SS SCRAMBLED SET[J].Chinese Annals of Mathematics,2002(6). |
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| Authors: | LIAO Gongfu WANG LidongCellege of Mathematical Sciences Jilin University Changchun China |
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| Institution: | LIAO Gongfu WANG LidongCellege of Mathematical Sciences,Jilin University,Changchun 130012,China. Department of Computer Science,Jilin Normal University,Siping 136000,Jilin,China. |
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| Abstract: | Introducing the concept of regular shift invariant set, we prove that a compact system having a regular shift invariant set has an SS scrambled set in the set of almost periodic points, in particular, a continuous self-map of an interval having positive topological entropy has an SS scrambled set in the set of almost periodic points. |
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| Keywords: | Compact system Almost periodic point Subshift Unique ergodicity SS scrambled set |
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