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.
Monteiro L.H.A.
Orientador
Título da Revista
ISSN da Revista
Título de Volume
Membros da banca
Programa
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.