Recurrence in non-autonomous dynamical systems

被引：0
|
作者：
Cavro, Jakub [1 ]
机构：
[1] Silesian Univ Opava, Math Inst Opava, Rybnicku 1, Opava 74601, Czech Republic
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2019年 / 25卷 / 9-10期
关键词：
Non-autonomous dynamical system; recurrent points; non-wandering points; Secondary; 39A;
D O I：
10.1080/10236198.2019.1651849
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a sequence of continuous maps on a compact metric space X uniformly converging to a function f. This sequence forms a non-autonomous discrete dynamical system. In such case, the set of omega-limit points is invariant with respect to the limit function f. Here we give negative answer to questions whether the sets of recurrent points and non-wandering points are also invariant. We also discuss the relation of the set of recurrent points of and its limit function f.
引用
收藏
页码：1404 / 1411
页数：8
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