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
Date
Source Own work
Author Kraaiennest
Other versions
  • '"`UNIQ--postMath-00000011-QINU`"'
  • '"`UNIQ--postMath-00000012-QINU`"'
  • '"`UNIQ--postMath-00000013-QINU`"'
  • '"`UNIQ--postMath-00000014-QINU`"'
  • '"`UNIQ--postMath-00000015-QINU`"'
SVG development
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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.

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
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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 (talk | contribs){{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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