Geometry of Kapitsa's potentials

Published under licence by IOP Publishing Ltd
, , Citation Mark Levi 1998 Nonlinearity 11 1365 DOI 10.1088/0951-7715/11/5/011

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1 Department of Mathematics, Pennsylvania State University, University Park, PA 16802-6401, USA

Dates

  1. Received 9 December 1997

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0951-7715/11/5/1365

Abstract

In this short note we uncover the geometry behind the classical result on averaging high-frequency vibrations . 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.

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10.1088/0951-7715/11/5/011