Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Resonance Enhancement by Suitably Chosen Frequency Detuning

Version 1 : Received: 21 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (05:32:49 CET)

A peer-reviewed article of this Preprint also exists.

Dutykh, D.; Tobisch, E. Resonance Enhancement by Suitably Chosen Frequency Detuning. Mathematics 2020, 8, 450. Dutykh, D.; Tobisch, E. Resonance Enhancement by Suitably Chosen Frequency Detuning. Mathematics 2020, 8, 450.

Journal reference: Mathematics 2020, 8, 450
DOI: 10.3390/math8030450

Abstract

In this manuscript 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 e.g. in energy harvesting systems.

Subject Areas

nonlinear resonance; frequency detuning; 3-wave system; resonance enhancement

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