Transmitted resonance in a coupled system

TL;DR

This paper investigates how resonance phenomena in a driven coupled system can be transmitted through the coupling, revealing new resonance behaviors and interactions with existing resonances in the driven system.

Contribution

It introduces the concept of transmitted resonance in coupled systems driven by periodic forcing, highlighting new resonance phenomena and their interplay with existing dynamics.

Findings

Resonance can be transmitted through coupling in driven systems.

Enhanced oscillation amplitudes can interact with pre-existing resonances.

New resonance phenomena emerge when the driver system is periodically forced.

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.