Abstract
In this short note we uncover the geometry behind the classical result on averaging high-frequency vibrations ẍ + a(t/ε) V′(x) = 0. It is shown that the classical effective potential of Kapitsa is produced by a centrifugal force of a point mass constrained to a certain curve determined by V.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1365-1368 |
| Number of pages | 4 |
| Journal | Nonlinearity |
| Volume | 11 |
| Issue number | 5 |
| DOIs | |
| State | Published - Sep 1 1998 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics