ausblenden:
Schlagwörter:
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Zusammenfassung:
A feedforward control technique is presented to steer a harmonically driven, non-linear system between attractors in the frequency–amplitude
parameter plane of the excitation. The basis of the technique is the temporary addition of a second harmonic component to the driving. To
illustrate this approach, it is applied to the Keller–Miksis equation describing the radial dynamics of a single spherical gas bubble placed in
an infinite domain of liquid. This model is a second-order, non-linear ordinary differential equation, a non-linear oscillator. With a proper
selection of the frequency ratio of the temporary dual-frequency driving and with the appropriate tuning of the excitation amplitudes, the
trajectory of the system can be smoothly transformed between specific attractors; for instance, between period-3 and period-5 orbits. The
transformation possibilities are discussed and summarized for attractors originating from the subharmonic resonances and the equilibrium
state (absence of external driving) of the system.
