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Revista mexicana de física E
Print version ISSN 1870-3542
Abstract
QUINTERO-CABRA, P.; SILVA-VALENCIA, J. and ALEJO-MARTINEZ, H.. Estabilidad de un péndulo con forzamiento periódico arbitrario. Rev. mex. fís. E [online]. 2009, vol.55, n.2, pp.161-167. ISSN 1870-3542.
The dynamics of a driven pendulum at arbitrary angles and signals is studied using the lagrangian formalism and the effective potential method. We make a general discussion of the problem and consider three particular driving signals: sinusoidal, square and triangular. Was found that the cut off frequency, which determines the transition between the stability and nonstability regions depends on the type of signal used. For square driving the lower bound is minimum, while for the triangular drive is a maximum, the usual case of sinusoidal driving was found between the previous ones.
Keywords : Driven pendulum; arbitrary signal; effective potential.