Word series high-order averaging of highly oscillatory differential equations with delay
oraz | 20 gru 2019
O artykule
Data publikacji: 20 gru 2019
Zakres stron: 445 - 454
Otrzymano: 17 cze 2019
Przyjęty: 22 lip 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00042
Słowa kluczowe
© 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.