Article
Word series high-order averaging of highly oscillatory differential equations with delay
Authors
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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.
Keywords
Delay differential equations, stroboscopic averaging, word series, 34C29
Citation
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. https://doi.org/10.2478/AMNS.2019.2.00042
J. M. Sanz-Serna and B. Zhu, “Word series high-order averaging of highly oscillatory differential equations with delay,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 445–454, 2019, doi: 10.2478/AMNS.2019.2.00042.
Sanz-Serna JM, Zhu B. Word series high-order averaging of highly oscillatory differential equations with delay. Applied Mathematics and Nonlinear Sciences. 2019;4(2):445–454. doi:10.2478/AMNS.2019.2.00042.
Sanz-Serna, J. M. and Zhu, B. (2019), ‘Word series high-order averaging of highly oscillatory differential equations with delay’, Applied Mathematics and Nonlinear Sciences, 4(2), pp. 445–454. Available at: https://doi.org/10.2478/AMNS.2019.2.00042.
Sanz-Serna, J. M., and Beibei Zhu. “Word Series High-order Averaging of Highly Oscillatory Differential Equations with Delay.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 445–454. https://doi.org/10.2478/AMNS.2019.2.00042.
Sanz-Serna, J. M., and Beibei Zhu. “Word Series High-order Averaging of Highly Oscillatory Differential Equations with Delay.” Applied Mathematics and Nonlinear Sciences 4, no. 2 (2019): 445–454. https://doi.org/10.2478/AMNS.2019.2.00042.
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Published by: Engineering Journals
