English: Time series and phase portrait of the solution of the Duffing equation, for showing chaotic behavior. 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
The file size of this SVG diagram may be irrationally large because its text has been converted to paths inhibiting translations.
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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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{{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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