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- W2560394925 abstract "In this paper, the bifurcation trees of period-1 motions to chaos are presented in a periodically driven pendulum. Discrete implicit maps are obtained through a mid-time scheme. Using these discrete maps, mapping structures are developed to describe different types of motions. Analytical bifurcation trees of periodic motions to chaos are obtained through the nonlinear algebraic equations of such implicit maps. Eigenvalue analysis is carried out for stability and bifurcation analysis of the periodic motions. Finally, numerical simulation results of various periodic motions are illustrated in verification to the analytical prediction. Harmonic amplitude characteristics are also be presented." @default.
- W2560394925 created "2016-12-16" @default.
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- W2560394925 date "2016-08-21" @default.
- W2560394925 modified "2023-09-28" @default.
- W2560394925 title "Bifurcation Tree of Period-1 Motion to Chaos in a Pendulum With Periodic Excitation" @default.
- W2560394925 doi "https://doi.org/10.1115/detc2016-59331" @default.
- W2560394925 hasPublicationYear "2016" @default.
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