Coccolo Bosio, Mattia TommasoZhu, BeiBeiFernandez Sanjuán, Miguel ÁngelSanz-Serna, Jesús Miguel2024-04-092024-04-092017-12-19Coccolo, M., Zhu, B., Sanjuán, M.A.F. et al. Bogdanov–Takens resonance in time-delayed systems. Nonlinear Dyn 91, 1939–1947 (2018). https://doi.org/10.1007/s11071-017-3992-10924-090Xhttps://hdl.handle.net/10115/32164The study investigates the oscillatory behavior of a dynamical system with time delay under periodic external forcing. It reveals that specific delay values can significantly amplify the system's response even with a minimal external force. This phenomenon is attributed to the presence of a Bogdanov-Takens bifurcation. While it shares similarities with other resonance phenomena, it also exhibits notable differences.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.engcop. Springerhttps://www.springernature.com/gp/open-research/policies/accepted-manuscript-termsNonlinear DynamicsBifurcationresonanceEl niño oscillatorDelayinfo:eu-repo/semantics/article10.1007/s11071-017-3992-1info:eu-repo/semantics/openAccess