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File:Duffing gam0.29 ome1.2 del0.3.svg

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Description
English: Time series and phase portrait of the solution of the Duffing equation, for showing a period-4 oscillation due to period doubling. The other parameters are: and The initial conditions are and
The time series shows as a function of with the period. The phase portrait depicts the time series plotted in the phase plane. The red dots depict the moments when is an integer multiple of the period
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Author Kraaiennest
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Based on the examples shown in:
  • D.W. Jordan & P. Smith (2007) Nonlinear ordinary differential equations – An introduction for scientists and engineers (4th ed.), Oxford University Press, pp. 453–462 ISBN: 978-0-19-920824-1.

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18 November 2016

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Date/TimeThumbnailDimensionsUserComment
current00:34, 18 November 2016Thumbnail for version as of 00:34, 18 November 20161,231 × 240 (793 KB)Kraaiennest{{Information |description={{en|1=Time series and phase portrait of the solution <math>x(t)</math> of the Duffing equation, <math>\ddot{x} + \delta \dot{x} + \alpha x + \beta x^3 = \gamma...

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