Krylov--Bogolyubov averaging
Dynamical Systems
2021-01-06 v4 Mathematical Physics
math.MP
Abstract
We present the modified approach to the classical Bogolyubov-Krylov averaging, developed recently for the purpose of PDEs. It allows to treat Lipschitz perturbations of linear systems with pure imaginary spectrum and may be generalized to treat PDEs with small nonlinearities.
Keywords
Cite
@article{arxiv.1904.11189,
title = {Krylov--Bogolyubov averaging},
author = {Wenwen Jian and Sergei Kuksin and Yuan Wu},
journal= {arXiv preprint arXiv:1904.11189},
year = {2021}
}