Abstract
In this note we study the motion of a particle confined to a moving surface, in other words, the geodesic motion where the surface is allowed to vary. We show that in the case of a rapidly vibrating surface, the differential geometry of a certain family of normal curves plays a role. Certain curvature terms appear in the averaged equations of motion.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2737-2743 |
| Number of pages | 7 |
| Journal | Nonlinearity |
| Volume | 18 |
| Issue number | 6 |
| DOIs | |
| State | Published - Nov 1 2005 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics