Resonance enhancement by suitably chosen frequency detuning

Abstract : In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for exact resonance. Moreover, the range of energy variation is not symmetric with respect to the sign of the detuning. Finally, the period of the energy oscillation exhibits non-monotonic dependency on the magnitude of detuning. These results have important theoretical implications where nonlinear resonance analysis is involved, such as geophysics, plasma physics, fluid dynamics. Numerous practical applications are envisageable \eg in energy harvesting systems.
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https://hal.archives-ouvertes.fr/hal-01084796
Contributeur : Denys Dutykh <>
Soumis le : jeudi 20 novembre 2014 - 10:32:22
Dernière modification le : lundi 21 mars 2016 - 17:33:55
Document(s) archivé(s) le : vendredi 14 avril 2017 - 20:46:59

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Denys Dutykh, Elena Tobisch. Resonance enhancement by suitably chosen frequency detuning. 13 pages, 6 figures, 5 references. Other author paper can be downloaded at http://www.denys-dutyk.. 2014. <hal-01084796>

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