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→Coordinate transform to amplitude/phase variables: Added when template. I'm not sure if the statement about the web service is appropriate for Wikipedia. Tags: Mobile edit Mobile web edit Advanced mobile edit |
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That is, Duffing's oscillations are of constant amplitude <math>r</math> but have different frequencies <math>d\theta/dt</math> depending upon the amplitude.<ref>{{citation |first=A.J. |last=Roberts |title=Modelling emergent dynamics in complex systems |url=http://www.maths.adelaide.edu.au/anthony.roberts/modelling.php |accessdate=2013-10-03 }}</ref>
More difficult examples are better treated using a time-dependent coordinate transform involving complex exponentials (as also invoked in the previous multiple time-scale approach). A web service will perform the analysis for a wide range of examples.{{When|date=July 2024}}<ref>{{citation |first=A.J. |last=Roberts |title=Construct centre manifolds of ordinary or delay differential equations (autonomous) |url=http://www.maths.adelaide.edu.au/anthony.roberts/gencm.php |accessdate=2013-10-03 }}</ref>
==See also==
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