Approximations of center manifolds for delay stochastic differential equations with additive noise

被引：1

作者：

Wu, Longyu ^{[1
,2
]}

Gong, Jiaxin ^{[1
,2
]}

Yang, Juan ^{[1
,2
]}

Shu, Ji ^{[1
,2
]}

机构：

[1] Sichuan Normal Univ, Laurent Math Ctr, Sch Math Sci, Chengdu 610066, Peoples R China

[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610066, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

delay equation; center manifold; random dynamical system; additive noise; INVARIANT-MANIFOLDS; FOLIATIONS; DRIVEN; CONVERGENCE; ATTRACTORS; EXISTENCE; DYNAMICS; THEOREM;

D O I：

10.1515/anona-2022-0301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the C-k invariant center manifolds of the system with colored noise approximate that of the original system.

引用

页数：28

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