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

页码：1925 / 1962

页数：38

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