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

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...

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Bibliographic Details
Main Authors: Sanz-Serna J. M., Zhu Beibei
Format: Article
Language:English
Published: Sciendo 2019-12-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/AMNS.2019.2.00042