Geometry of Kapitsa's potentials

Research output: Contribution to journalArticle

18 Citations (Scopus)

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

Fingerprint

Centrifugal Force
centrifugal force
Effective Potential
Averaging
Vibration
vibration
Curve
Geometry
curves
geometry

All Science Journal Classification (ASJC) codes

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

Cite this

Levi, Mark. / Geometry of Kapitsa's potentials. In: Nonlinearity. 1998 ; Vol. 11, No. 5. pp. 1365-1368.
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Geometry of Kapitsa's potentials. / Levi, Mark.

In: Nonlinearity, Vol. 11, No. 5, 01.09.1998, p. 1365-1368.

Research output: Contribution to journalArticle

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