Geometry of Kapitsa's potentials

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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 languageEnglish (US)
Pages (from-to)1365-1368
Number of pages4
JournalNonlinearity
Volume11
Issue number5
DOIs
StatePublished - Sep 1 1998

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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