Measure-theoretic sensitivity via finite partitions

被引：17

作者：

Li, Jian ^{[1
,2
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Shantou Univ, Guangdong Prov Key Lab Digital Signal & Image Pro, Shantou 515063, Guangdong, Peoples R China

来源：

NONLINEARITY | 2016年 / 29卷 / 07期

关键词：

measure-theoretic sensitivity; finite measurable partitions; maximal pattern entropy; INITIAL CONDITIONS; SYSTEMS; EQUICONTINUITY; DEPENDENCE; DYNAMICS; CHAOS;

D O I：

10.1088/0951-7715/29/7/2133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For every positive integer n >= 2, we introduce the concept of measure-theoretic n-sensitivity for measure-theoretic dynamical systems via finite measurable partitions, and show that an ergodic system is measure-theoretically n-sensitive but not (n + 1)-sensitive if and only if its maximal pattern entropy is log n.

引用

页码：2133 / 2144

页数：12

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