Resumen
The dynamics of a bead sliding without friction along a periodically pulsating wire is under consideration. If the arc length of the wire is taken as the relevant coordinate, the motion of the bead is described by a periodic newtonian equation. Sufficient conditions are derived assuring that a given equilibrium is of twist type, a property that implies its nonlinear stability as well as a KAM scenario around it. Special attention is paid to the stabilization of unstable equilibria, in parallel with the stabilization of the inverted pendulum.
Idioma original | Inglés |
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Páginas (desde-hasta) | 610-615 |
Número de páginas | 6 |
Publicación | Applied Mathematics Letters |
Volumen | 20 |
N.º | 6 |
DOI | |
Estado | Publicada - jun. 2007 |
Publicado de forma externa | Sí |