Bogdanov-Takens resonance in time-delayed systems
Chaotic Dynamics
2024-05-09 v2
Abstract
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.
Cite
@article{arxiv.1707.03606,
title = {Bogdanov-Takens resonance in time-delayed systems},
author = {Mattia Coccolo and BeiBei Zhu and Miguel A. F. Sanjuán and Jesús M. Sanz-Serna},
journal= {arXiv preprint arXiv:1707.03606},
year = {2024}
}
Comments
14 pages, 8 figures