Word series high-order averaging of highly oscillatory differential equations with delay
and | Dec 20, 2019
Published Online: Dec 20, 2019
Page range: 445 - 454
Received: Jun 17, 2019
Accepted: Jul 22, 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00042
Keywords
© 2019 J. M. Sanz-Serna and Beibei Zhu, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.
We show that, when the delay is an integer multiple of the forcing period, 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.