TOPOLOGICAL ENTROPY FOR SET-VALUED MAPS

被引：18
|
作者：
Carrasco-Olivera, Dante [1 ]
Metzger Alvan, Roger [2 ]
Morales Rojas, Carlos Arnoldo [3 ]
机构：
[1] Univ Bio, Dept Matemat, Concepcion, Chile
[2] Univ Nacl Ingn, IMCA, Lima 12, Peru
[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 10期
关键词：
Set-valued map; topological entropy; metric space; spanning set; separated set; INVARIANT-MEASURES;
D O I：
10.3934/dcdsb.2015.20.3461
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we define and study the topological entropy of a set-valued dynamical system. Actually, we obtain two entropies based on separated and spanning sets. Some properties of these entropies resembling the single-valued case will be obtained.
引用
收藏
页码：3461 / 3474
页数：14
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