Superstructure in the bifurcation set of the Duffing equation ẍ + dẋ + x + x3 = f cos(ωt)

Abstract Resonance curves, bifurcation diagrams, and phase diagrams of the Duffing equation x + d x + x + x 3 = f cos (ωt) are presented. They show a periodic recurrence of a specific fine structure in the bifurcation set, which is closely connected with the nonlinear resonances of the system.

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