Near a fold point, the slow flow of an unstable oscillator coupled to a nonlinear energy sink obeys the dynamic saddle-node normal form, giving a ε^(1/3)-ε^(2/3) scaling law and an improved mitigation-limit prediction.
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Scaling law for the slow flow of an unstable mechanical system coupled to a nonlinear energy sink
Near a fold point, the slow flow of an unstable oscillator coupled to a nonlinear energy sink obeys the dynamic saddle-node normal form, giving a ε^(1/3)-ε^(2/3) scaling law and an improved mitigation-limit prediction.