Bogdanov-Takens resonance in time-delayed systems Articles uri icon

publication date

  • February 2018

start page

  • 1939

end page

  • 1947


  • 3


  • 91

International Standard Serial Number (ISSN)

  • 0924-090X


  • We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude. This phenomenon is related to the presence of a Bogdanov-Takens bifurcation and displays some analogies to other resonance phenomena, but also substantial differences.


  • nonlinear oscillations; delay systems; resonance