Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems

被引：7
|
作者：
Thakkar, Dhaval [1 ]
Das, Ruchi [2 ]
机构：
[1] Vadodara Inst Engn, Kotambi, Vadodara, India
[2] Univ Delhi, Dept Math, Fac Math Sci, Delhi, India
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 05期
关键词：
Nonautonomous discrete dynamical systems; nonwandering set; chain recurrent sets; expansiveness; shadowing property (POTP); equicontinuous dynamical system; spectral decomposition theorem; CHAIN RECURRENCE; NONCOMPACT;
D O I：
10.1080/10236198.2015.1133617
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the notion of weak chain recurrence and study properties of weak chain recurrent sets in a nonautonomous discrete dynamical system induced by a sequence of homeomorphisms on a compact metric space. Our main result is the Smale's spectral decomposition theorem in an equicontinuous nonautonomous discrete dynamical system.
引用
收藏
页码：676 / 686
页数：11
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