@Article{CMR-38-1,
author = {Wenlei, Li and Shi, Shaoyun},
title = {Singularly Perturbed Renormalization Group Method and Its Significance in Dynamical Systems Theory},
journal = {Communications in Mathematical Research },
year = {2022},
volume = {38},
number = {1},
pages = {99--122},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2021-0049},
url = {https://global-sci.com/article/81478/singularly-perturbed-renormalization-group-method-and-its-significance-in-dynamical-systems-theory}
}