Resonance enhancement by suitably chosen frequency detuning

TL;DR

This paper investigates how specific frequency detuning in a 3-wave system can significantly alter amplitude variation ranges, energy exchange symmetry, and oscillation periods, with implications for various scientific and practical fields.

Contribution

It reveals new effects of frequency detuning on resonance dynamics, showing wider amplitude ranges, asymmetry in energy variation, and non-monotonic oscillation periods, advancing nonlinear resonance understanding.

Findings

Amplitude variation range can be wider with detuning.

Energy variation symmetry is broken by detuning.

Oscillation period depends non-monotonically on 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 e.g. in energy harvesting systems.