one of the classic nonlinear 2nd order ODEs is the Duffing equation, which exhibits a supercritical pitchfork: past a certain parameter value, a spiral sink turns to a saddle and sheds a pair of spiral sinks. what's so nice about that? next comes a novel simulation... 1/3pic.twitter.com/Pdeo8sc1GF
I don't believe it's related to the simulation timestep. Their notation is a bit confusing, but I think the superscript letter "M" is just used to denote the quantity defined in Eq. 4.4. The quantity M inside the limit on the right hand side represents an integer which gives ...
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the number of terms used in the sum. As the quantity M goes to infinity, more terms are included in the sum and it approaches an average over "all time".
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i wonder what the spectrum looks like to the right of the graph - only three peaks are shown (i count DC, i.e. freq=0, as one)
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