GEOMETRY OF KAPITSAS POTENTIALS

Authors
LEVI M
Citation
M. Levi, GEOMETRY OF KAPITSAS POTENTIALS, Nonlinearity, 11(5), 1998, pp. 1365-1368
Citations number
4
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
11
Issue
5
Year of publication
1998
Pages
1365 - 1368
Database
ISI
SICI code
0951-7715(1998)11:5<1365:GOKP>2.0.ZU;2-C
Abstract
In this short note we uncover the geometry behind the classical result on averaging high-frequency vibrations x + a(t/epsilon)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.