paper

Resonance enhancement by suitably chosen frequency detuning

arXiv:1411.5518 · doi:10.3390/math8030450

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 e.g. in energy harvesting systems.

13 pages, 6 figures, 5 references. Other author's papers can be viewed at http://www.denys-dutykh.com/

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