具有加性噪声的时滞随机微分方程中心流形的逼近

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0301

Longyu Wu, Jiaxin Gong, Juan Yang, J. Shu

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引用次数: 0

摘要

研究了具有加性噪声的时滞随机微分方程中心流形的逼近问题。首先证明了这些近似方程的随机中心流形的存在性和光滑性。然后我们证明了带有彩色噪声的系统的ck {C}^{k}不变中心流形近似于原系统的中心流形。

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

Abstract 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 {C}^{k} invariant center manifolds of the system with colored noise approximate that of the original system.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567