Transmitted resonance in a coupled system

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 phenome...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2024-08, Vol.135, p.108068, Article 108068
Hauptverfasser: Coccolo, Mattia, Sanjuán, Miguel A.F.
Format: Artikel
Sprache:eng
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Zusammenfassung: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. •We study the oscillations amplitude of a Duffing oscillator driven by a time-delayed Duffing.•We study the presence of Resonance in the dynamics of the system.•We Investigate driver system’s external forcing and periodic input interplay on driven system dynamics•The nonlinear dynamics in the system is analyzed.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2024.108068