Hegedűs, Ferenc and Krähling, Péter and Aron, M. and Lauterborn, W. and Mettin, P. (2020) Feedforward attractor targeting for non-linear oscillators using a dual-frequency driving technique. CHAOS, 30 (7). ISSN 1054-1500
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Abstract
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.
Item Type: | Article |
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Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 28 Sep 2021 16:21 |
Last Modified: | 28 Sep 2021 16:21 |
URI: | http://real.mtak.hu/id/eprint/131145 |
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