Name
Title | ||
|---|---|---|
KAM dynamics and stabilization of a particle sliding over a periodically driven curve |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.aml.2006.05.023 | Applied Mathematics Letters |
Keywords | Field | DocType |
KAM dynamics,Lyapunov stability,Twist condition | Twist,Inverted pendulum,Mathematical analysis,Lyapunov stability,Arc length,Newtonian fluid,Pendulum,Periodic graph (geometry),Particle,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 6 | 0893-9659 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daniel Núñez | 1 | 0 | 0.34 |
| Pedro J. Torres | 2 | 17 | 7.08 |