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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

8
votes
I haven't thought about this for delay differential equations, but for initial value problems, you can just think of the perturbation as a new initial value problem, then the only issue is stitching t …
answered Oct 16 '12 by Gabriel
5
votes
Now that Mathematica has added WhenEvent we have the super sweet solution that requires non of this ugly boiler plate. For the single perturbation case we have the following: Module[{r = 0.5, k = 10 …
answered Dec 1 '12 by Gabriel
5
votes
1answer
When I use the following system model = {x'[t] == x[t] (1 - x[t]) - x[t] y[t], y'[t] == x[t] y[t] - y[t], x[0] == 0.5, y[0] == 0.5} with the WhenEvent perturb = WhenEvent[Mod[t, 1], {x[t] -> x …
asked Dec 11 '12 by Gabriel