Nonlinear Interactions Between Coupled Nonlinear Oscillators at Different Layers of Time

Abstract eng:
The energy exchanges between two coupled systems during extreme nonlinear interactions between them around a 1 : 1 resonance is studied. The auxiliary nonlinear oscillator, named as nonlinear energy sink (NES) [1, 2, 3, 4, 5], which is used for controlling the main one and/or to harvest its energy, possesses both global and local potentials and can be under external forcing terms. Slow invariant of the system and detected equilibrium and singular points provide design tools for tuning parameters of the NES for the aim of its usage.

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