<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Word series high-order averaging of highly oscillatory differential equations with delay

National Center for Mathematics and Interdisciplinary Science

Applied Mathematics and Nonlinear Sciences

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...

Word series high-order averaging of highly oscillatory differential equations with delay

Pubblicato online: 20 dic 2019

Pagine: 445 - 454

Ricevuto: 17 giu 2019

Accettato: 22 lug 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00042

Parole chiave
Delay differential equations, stroboscopic averaging, word series

© 2019 J. M. Sanz-Serna and Beibei Zhu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Word series high-order averaging of highly oscillatory differential equations with delay

Pubblicato online: 20 dic 2019

Pagine: 445 - 454

Ricevuto: 17 giu 2019

Accettato: 22 lug 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00042

Parole chiaveDelay differential equations, stroboscopic averaging, word series

© 2019 J. M. Sanz-Serna and Beibei Zhu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Parole chiave
Delay differential equations, stroboscopic averaging, word series