Periodic solutions of the pendulum
| Autor: | M Y Kucinski, Luiz Henrique Alves Monteiro |
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| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | Journal of Physics A: Mathematical and General. 33:8489-8505 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/33/47/312 |
| Popis: | We develop an analytical procedure to determine orbits that a harmonically driven, damped pendulum describes in the phase plane. The theory predicts the existence of more than one solution for the same system, depending on initial conditions. Also, it predicts a stable solution around the top position of the pendulum. Trajectories obtained by numerically integrating the pendulum equation in a phase-locked condition agree with our diagrams. Some periodic solutions were found that are not orbitally stable. |
| Databáze: | OpenAIRE |
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