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

publication date

  • July 2019

start page

  • 445

end page

  • 454

issue

  • 2

volume

  • 4

International Standard Serial Number (ISSN)

  • 2444-8656

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