| 非自治动力系统原像熵的开覆盖定义及性质 |
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| 引用本文： | 张金莲,房旭珍.非自治动力系统原像熵的开覆盖定义及性质[J].河北师范大学学报(自然科学版),2007,31(3):305-309. |
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| 作者姓名： | 张金莲 房旭珍 |
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| 作者单位： | 1. 河北师范大学,数学与信息科学学院,河北,石家庄,050016
2. 河北化工医药职业技术学院,基础部,河北,石家庄,050030 |
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| 基金项目： | 国家自然科学基金
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河北师范大学校科研和教改项目 |
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| 摘 要： | 对紧致拓扑空间上的连续自映射序列应用开覆盖定义了点原像熵、原像分枝熵以及原像关系熵等几类原像熵.证明了它们具有次可加性和次可乘性.对紧致度量空间的情形证明了这几类原像熵的开覆盖形式的定义与生成集、分离集形式的定义是等价的.
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| 关 键 词： | 连续自映射序列 原像熵 开覆盖 |
| 文章编号： | 1000-5854(2007)03-0305-05 |
| 修稿时间： | 2006-03-08 |
Several Properties for Preimage Entropy of Nonautonomous Dynamical Systems |
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| ZHANG Jin-lian,FANG Xu-zhen.Several Properties for Preimage Entropy of Nonautonomous Dynamical Systems[J].Journal of Hebei Normal University,2007,31(3):305-309. |
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| Authors: | ZHANG Jin-lian FANG Xu-zhen |
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| Institution: | 1. College of Mathematics and Information Sciences,Hebei Normal University,Hebei Shijiazhuang 050016,China; 2. Department of Basic Courses, Hebei Chemical and Pharmaceutical Vocational Technology College, Hebei Shijiazhuang 050030, China |
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| Abstract: | The definitions of pointwise preimage entropies,preimage branch entropy,and preimage relation entropy for nonautonomous discrete dynamical systems given by a sequence of continuous selfmaps of a compact space are given by using open covers.It is shown that all these preimage entropies satisfy subadditivity and submultiplicativity.In particular,when the space is metrizable,these definitions are equivalent to those using spanning or separated sets. |
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| Keywords: | sequence of continuous selfmaps preimage entropy open cover |
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