KAM dynamics and stabilization of a particle sliding over a periodically driven curve
نویسندگان
چکیده
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. c © 2006 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 20 شماره
صفحات -
تاریخ انتشار 2007