Transmitted resonance in a coupled system
Adaptation and Self-Organizing Systems
2024-05-13 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
When two systems are coupled, one can play the role of the driver, and the other can be the driven or response system. In this scenario, the driver system can behave as an external forcing. Thus, we study its interaction when a periodic forcing drives the driver system. In the analysis a new phenomenon shows up: when the driver system is forced by a periodic forcing, it can suffer a resonance and this resonance can be transmitted through the coupling mechanism to the driven system. Moreover, in some cases the enhanced oscillations amplitude can also interplay with a previous resonance already acting in the driven system dynamics.
Cite
@article{arxiv.2405.05997,
title = {Transmitted resonance in a coupled system},
author = {Mattia Coccolo and Miguel A. F. Sanjuán},
journal= {arXiv preprint arXiv:2405.05997},
year = {2024}
}