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Non-linear second order differential equation and its attractor

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dbo:description
  • duaorda nelineara ordinara diferenciala ekvacio (eo)
  • non-linear second order differential equation and its attractor (en)
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dbo:wikiPageWikiLink
dbp:align
  • right (en)
dbp:caption
  • chaos at (en)
  • period-1 oscillation at (en)
  • period-2 oscillation at (en)
  • period-4 oscillation at (en)
  • period-5 oscillation at (en)
dbp:direction
  • vertical (en)
dbp:header
  • Time traces and phase portraits (en)
dbp:image
  • Duffing gam0.20 ome1.2 del0.3.svg (en)
  • Duffing gam0.28 ome1.2 del0.3.svg (en)
  • Duffing gam0.29 ome1.2 del0.3.svg (en)
  • Duffing gam0.37 ome1.2 del0.3.svg (en)
  • Duffing gam0.50 ome1.2 del0.3.svg (en)
  • Duffing gam0.65 ome1.2 del0.3.svg (en)
dbp:proof
  • Using the method of harmonic balance, an approximate solution to the Duffing equation is sought of the form: with and Application in the Duffing equation leads to: Neglecting the superharmonics at the two terms preceding and have to be zero. As a result, Squaring both equations and adding leads to the amplitude frequency response: as stated above. (en)
dbp:title
  • Derivation of the frequency response (en)
dbp:width
  • 300 (xsd:integer)
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dct:subject
rdfs:label
  • Duffing equation (en)
  • Duffing-Oszillator (de)
  • Oscillateur de Duffing (fr)
  • ダフィング方程式 (ja)
  • Equação de Duffing (pt)
  • Осциллятор Дуффинга (ru)
  • Рівняння Дуффінга (uk)
  • 杜芬振子 (zh)
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