Special Session 156: 

A new type of resonance: the Bogdanov-Takens resonance in time-delayed systems

Mattia T Coccolo
Department of Physics. Universidad Rey Juan Carlos
Spain
Co-Author(s):    Beibei Zhu, Miguel A.F. Sanjuan, and J.M. Sanz-Serna
Abstract:
In this talk, we present our work on the oscillatory dynamics of a time--delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the time 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.