Periodic solutions of the pendulum

Tipo
Artigo
Data de publicação
2000
Periódico
Journal of Physics A: Mathematical and General
Citações (Scopus)
3
Autores
Kucinski M.Y.
Monteiro L.H.A.
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Resumo
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.
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