| 有限子移位混沌性质的若干研究 |
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| 引用本文： | 谢建华.有限子移位混沌性质的若干研究[J].西南交通大学学报,2001,36(4):378-382. |
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| 作者姓名： | 谢建华 |
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| 作者单位： | 西南交通大学应用力学与工程系 |
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| 基金项目： | 国家自然科学基金资助项目(10072051) |
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| 摘 要： | 用有向图描述有限子移位，给出了有限子移位为拓扑混合的充要条件。在此基础上，利用非负方阵的置换标准形证明了谱分解定理。重新考察了二次映射双曲不变集的存在性，并对现有论证作了若干补充。
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| 关 键 词： | 有向图 不变集合 有限子移位 拓扑混合性 混沌 谱分解定理 非负方阵 |
| 文章编号： | 0258-2724(2001)04-0378-05 |
Chaotic Behaviors in Finite Subshifts |
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| XIE Jian-hua.Chaotic Behaviors in Finite Subshifts[J].Journal of Southwest Jiaotong University,2001,36(4):378-382. |
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| Authors: | XIE Jian-hua |
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| Abstract: | A necessary and sufficient condition is given for topologically mixed finite subshifts that are described by directed graphs. Based on this result, the spectral decomposition theorems are proved by using permutation canonical forms of nonnegative matrices. The existence of hyperbolic invariant set possessed by the quadratic map is re-examined. Some details missed in the references are provided and a new type of finite subshifts is found. |
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| Keywords: | directed graph invariant set finite subshift topological mixing chaos |
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