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

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URI: https://hdl.handle.net/10016/38363
ISSN: 2444-8656
DOI: https://doi.org/10.2478/AMNS.2019.2.00042
UXXI: AR/0000026334
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Word_AMNS_2019.pdf (758.22 KB)
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2019-07
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Sciendo
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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.
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Delay differential equations, Stroboscopic averaging, Word series
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Sanz-Serna, J. M., & Zhu, B. (2019). Word Series High-order averaging of highly oscillatory differential equations with delay. Applied Mathematics and Nonlinear Sciences, 4(2), 445-454.
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