Random Perturbation of Invariant Manifolds for Non-Autonomous Dynamical Systems

被引：0

作者：

Jiang, Tao ^{[1
]}

Guo, Zhongkai ^{[2
]}

Yan, Xingjie ^{[3
]}

机构：

[1] Hubei Univ Econ, Hubei Subctr, Collaborat Innovat Ctr China Pilot Reform Explora, Wuhan 430205, Peoples R China

[2] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China

[3] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 06期

基金：

中央高校基本科研业务费专项资金资助;

关键词：

random invariant manifold; random non-autonomous partial differential equations; stochastic non-autonomous partial differential equation; invariant manifolds; Wong-Zakai approximation; WONG-ZAKAI APPROXIMATIONS; DIFFERENTIAL-EQUATIONS; SUPPORT THEOREM; FOLIATIONS;

D O I：

10.3390/math10060992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Random invariant manifolds are geometric objects useful for understanding dynamics near the random fixed point under stochastic influences. Under the framework of a dynamical system, we compared perturbed random non-autonomous partial differential equations with original stochastic non-autonomous partial differential equations. Mainly, we derived some pathwise approximation results of random invariant manifolds when the Gaussian white noise was replaced by colored noise, which is a type of Wong-Zakai approximation.

引用

页数：12

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