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

• Autores: Jesús María Sanz Serna
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 4, Nº. 2, 2019, págs. 445-454
• Idioma: inglés
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• Resumen

  • 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