Positive entropy on nonautonomous interval maps and the topology of the inverse limit space

Christopher Mouron

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Positive entropy on nonautonomous interval maps and the topology of the inverse limit space

机译：非自治区间图的正熵和逆极限空间的拓扑

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Entropy on nonautonomous maps {f_i}_(1=0)~∞ of the interval is defined 2 ways. Under one definition, called forward entropy, it is shown that positive entropy implies that the inverse limit space of ({f_i}_(1=0)~∞, I) contains an indecomposable subcontinuum. Under the second definition, called backwards entropy, it is shown that the inverse limit space of ({f_i}_(1=0)~∞, I) is not locally connected.

机译：区间的非自治映射{f_i} _（1 = 0）〜∞的熵定义为2种方式。在一个称为正向熵的定义下，表明正熵意味着（{f_i} _（1 = 0）〜∞，I）的逆极限空间包含一个不可分解的子连续体。根据第二种定义，称为后向熵，它表明（{f_i} _（1 = 0）〜∞，I）的逆极限空间不是局部连接的。

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来源
《Topology and its applications》 |2007年第4期|p.894-907|共14页
作者
Christopher Mouron;
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作者单位

Department of Mathematics and Computer Science, Rhodes College, Memphis, 77V 38112. USA;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
entropy; inverse limit; indecomposable continuum;

机译：熵;逆极限;不可分解的连续体;

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1. A Lebesgue-like measure for inverse limit spaces of piecewise strictly monotone maps of an interval [J] . Casey Sherman Topology and its applications . 2012,第8期

机译：区间的严格严格单调映象的逆极限空间的类Lebesgue测度
2. ON THE RELATIONS BETWEEN POSITIVE LYAPUNOV EXPONENTS, POSITIVE ENTROPY, AND SENSITIVITY FOR INTERVAL MAPS [J] . Alejo Barrio Blaya, Victor Jimenez Lopez Discrete and continuous dynamical systems . 2012,第2期

机译：区间映射的正Lyapunov指数，正熵和灵敏度之间的关系
3. The topology and dynamics of the hyperspaces of normal fuzzy sets and their inverse limit spaces [J] . Boronski J. P., Kupka J. Fuzzy sets and systems . 2017,第auga15期

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4. INVERSE LIMITS IN FUZZY DYNAMICAL SYSTEMS INDUCED BY INTERVAL MAPS [C] . J. P. Boronski, J. Kupka Decision making and soft computing . 2014

机译：区间映射在模糊动力学系统中的逆极限
5. On the classification of inverse limit spaces of tent maps. [D] . Jakimovik, Slagjana. 2005

机译：关于帐篷地图的极限空间的分类。
6. Effect of screw threading dislocations and inverse domain boundaries in GaN on the shape of reciprocal-space maps [O] . Mykhailo Barchuk, Mykhaylo Motylenko, Gleb Lukin, -1

机译：GaN中的螺纹位错和反域边界对倒易空间图的形状的影响
7. Positive entropy on nonautonomous interval maps and the topology of the inverse limit space [O] . Mouron Christopher 2007

机译：非自治区间图的正熵和逆极限空间的拓扑
8. Chaoticity of interval self-maps with positive entropy. [R] . Xiong, J. 1988

机译：具有正熵的区间自映射的混沌性。

Positive entropy on nonautonomous interval maps and the topology of the inverse limit space

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