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关于局部随机吸引子若干性质的注记(英文)
引用本文:柳振鑫,苏孟龙,祝文壮. 关于局部随机吸引子若干性质的注记(英文)[J]. 东北数学, 2008, 24(2): 163-172
作者姓名:柳振鑫  苏孟龙  祝文壮
作者单位:School;Mathematics;Jilin;University;Information;Science;College;Luoyang;Normal;Mathematical;Sciences;Nankai;
基金项目:Partially Supported by the SRFDP (20070183053) and the Young Fund of the College of Mathematics at Jilin University.
摘    要:In this note, we study some properties of local random pull-back attractors on compact metric spaces. We obtain some relations between attractors and their fundamental neighborhoods and basins of attraction. We also obtain some properties of omega-limit sets, as well as connectedness of random attractors. A simple deterministic example is given to illustrate some confusing problems.

关 键 词:局部随机吸引子  性质  概率论  数学研究

A Note on Some Properties of Local Random Attractors
LIU Zhen-xin SU Meng-long ZHU Wen-zhuang. A Note on Some Properties of Local Random Attractors[J]. Northeastern Mathematical Journal, 2008, 24(2): 163-172
Authors:LIU Zhen-xin SU Meng-long ZHU Wen-zhuang
Affiliation:[1]School of Mathematics, Jilin University, Changchun, 130012 [2]Mathematics and Information Science College, Luoyang Normal University, Luoyang, 471022 [3]School of Mathematical Sciences, Nankai University, Tianjin, 300071
Abstract:In this note, we study some properties of local random pull-back attractors on compact metric spaces. We obtain some relations between attractors and their fundamental neighborhoods and basins of attraction. We also obtain some properties of omega-limit sets, as well as connectednese of random attractors. A simple deterministic example is given to illustrate some confusing problems.
Keywords:random dynamical system  random attractor  pull-back attractor
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