Word-series high-order averaging of highly oscillatory differential equations with delay
Dynamical Systems
2019-06-18 v1 Numerical Analysis
Numerical Analysis
Abstract
We show that, for appropriate combinations of the values of the delay and the forcing frequency, it is possible to obtain easily high-order averaged versions of periodically forced systems of delay differential equations with constant delay. Our approach is based on the use of word-series techniques to obtain high-order averaged equations for differential equations without delay.
Keywords
Cite
@article{arxiv.1906.06944,
title = {Word-series high-order averaging of highly oscillatory differential equations with delay},
author = {J. M. Sanz-Serna and Beibei Zhu},
journal= {arXiv preprint arXiv:1906.06944},
year = {2019}
}