An alternative approach for chaos: A plane pendulum with oscillating torque |
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| Institution: | 1. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon;2. Department of Mechanical Engineering, Higher Technical Teacher''s Training College (ENSET) Ebolowa, University of Ebolowa, P.O. Box 886, Ebolowa, Cameroon;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: | The shooting method is applied to obtain chaotic motions for a pendulum with a oscillatory torque excitation on its support. It shows that if the pendulum is placed at certain spots, the corresponding motion will become chaotic. It proves the coexistence of uncountably many non-periodic motions and countably many periodic motions of the pendulum. |
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