KAM dynamics and stabilization of a particle sliding over a periodically driven curve

Daniel Núñez, Pedro J. Torres

Producción: Contribución a una revistaArtículorevisión exhaustiva

7 Citas (Scopus)

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 originalInglés
Páginas (desde-hasta)610-615
Número de páginas6
PublicaciónApplied Mathematics Letters
Volumen20
N.º6
DOI
EstadoPublicada - jun. 2007
Publicado de forma externa

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