Directly forced oscillations of an inverted pendulum |
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| Affiliation: | 1. N.N. Semenov Institute of Chemical Physics, Kosygin st., 4 Moscow 119991, Russia;2. National Research University Higher School of Economics, 101000, Myasnitskaya 20, Moscow, Russia;3. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome 00184, Italy |
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| Abstract: | Directly forced, symmetric oscillations of an inverted, lightly damped pendulum are predicted analytically on the hypothesis of sinusoidal motion in a frequency interval terminated by turning-point and symmetry-breaking bifurcations. The predictions are confirmed by numerical simulation. |
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