Article
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Preserved in Portico This version is not peer-reviewed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.
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.
Keywords
nonlinear resonance; frequency detuning; 3-wave system; resonance enhancement
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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