High-frequency tuning of internal resonance and targeted energy transfer in a Van der Pol oscillator coupled to a nonlinear energy sink
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914466080227328 |
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| author | Roy, Somnath Coccolo, Mattia Gupta, Sayan Sanjuán, Miguel A. F. |
| author_facet | Roy, Somnath Coccolo, Mattia Gupta, Sayan Sanjuán, Miguel A. F. |
| contents | Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tunes the effective natural stiffness and promotes resonance capture, facilitating energy transfer. Using \textit{direct partition of motion} with \textit{complexification averaging}, the mechanism of energy flow and instability control through \textit{hopf bifurcation} is characterized. A spectrally evaluated Q-factor, based on FFT at the effective slow frequency, captures the resonance peaks indicating the efficient energy transfer. Finally, the energy-dissipation metric is consistent with these Q-maps and identifies the regions where transient energy pumping is most effective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10277 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | High-frequency tuning of internal resonance and targeted energy transfer in a Van der Pol oscillator coupled to a nonlinear energy sink Roy, Somnath Coccolo, Mattia Gupta, Sayan Sanjuán, Miguel A. F. Chaotic Dynamics Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tunes the effective natural stiffness and promotes resonance capture, facilitating energy transfer. Using \textit{direct partition of motion} with \textit{complexification averaging}, the mechanism of energy flow and instability control through \textit{hopf bifurcation} is characterized. A spectrally evaluated Q-factor, based on FFT at the effective slow frequency, captures the resonance peaks indicating the efficient energy transfer. Finally, the energy-dissipation metric is consistent with these Q-maps and identifies the regions where transient energy pumping is most effective. |
| title | High-frequency tuning of internal resonance and targeted energy transfer in a Van der Pol oscillator coupled to a nonlinear energy sink |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2604.10277 |