Year: 2022
Author: Wenlei Li, Shaoyun Shi
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 99–122
Abstract
In this paper, we mainly investigate three topics on the renormalization group (RG) method to singularly perturbed problems: 1) We will present an explicit strategy of RG procedure to get the approximate solution up to any order. 2) We will refer that the RG procedure can, in fact, be used to get the normal form of differential dynamical systems. 3) We will also present the approximating center manifolds of the perturbed systems, and investigate the long time asymptotic behavior by means of RG formula.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0049
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 99–122
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Renormalization group method normal form center manifolds.
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