Quasiperiodic energy pumping in coupled oscillators under periodic forcing

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Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems (2017, background): “This is due mainly to a qualitatively different dynamical behaviour in close vicinity of the main resonance, where the NES can exhibit quasi-periodic rather than periodic response [55, 56].”
Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber (2007, background): “On qualitative level, it was shown in [13] that the energy of vibration is transferred to the NES and damped out in quasiperiodic regime, and thus, attenuation of vibrations of the primary mass is achieved.”
Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes (2007, methodology): “studies, it was demonstrated [ 11 , 12] that in close vicinity of the main resonance the system with NES can exhibit quasiperiodic rather than steady ‐ state response, leading to qualitatively different dynamical behavior.”