SLOW MANIFOLD AND PARAMETER ESTIMATION FOR A NONLOCAL FAST-SLOW DYNAMICAL SYSTEM WITH BROWNIAN MOTION

• 作者: Hina ZULFIQAR Ziying HE Meihua YANG Jinqiao DUAN
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 1057-1080
• 页数: 24页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.04.003

摘要

We establish a slow manifold for a fast-slow dynamical system with anomalous diffusion,where both fast and slow components are influenced by white noise.Furthermore,we verify the exponential tracking property for the established random slow manifold,which leads to a lower dimensional reduced system.Alongside this we consider a parameter esti-mation method for a nonlocal fast-slow stochastic dynamical system,where only the slow component is observable.In terms of quantifying parameters in stochastic evolutionary sys-tems,the provided method offers the advantage of dimension reduction.