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.

Keywords

Bibliographic record

BibTeX Citation

@article{Dutykh2020resonanceenhancement,
  author = {Dutykh, D. and Tobisch, E.},
  title = {Resonance enhancement by suitably chosen frequency detuning},
  journal = {Mathematics},
  year = {2020},
  volume = {8},
  number = {3},
  pages = {450},
  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 \eg in energy harvesting systems.},
  keywords = {nonlinear resonance, geophysics, plasma physics, oscillation period, energy harvesting, amplitude variation, energy variation, frequency detuning, fluid dynamics, resonance detuning, 3-wave system, resonance enhancement}
}