SMOOTH CENTER MANIFOLDS FOR RANDOM DYNAMICAL SYSTEMS

被引：4
|
作者：
Guo, Peng [1 ]
Shen, Jun [2 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 06期
关键词：
Random dynamical system; smoothness; center-unstable manifolds; center-stable manifolds; center manifolds; INVARIANT-MANIFOLDS; FOLIATIONS; THEOREM;
D O I：
10.1216/RMJ-2016-46-6-1925
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will prove the existence and Holder continuity of smooth center-unstable and center-stable manifolds for random dynamical systems based on their Lyapunov exponents. Furthermore, we obtain the existence and Holder continuity of smooth center manifolds.
引用
收藏
页码：1925 / 1962
页数：38
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