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

06/17/2019

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by   J. M. Sanz-Serna, et al.

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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.