Created
December 4, 2015 05:11
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Mathematica code that calculate the Lorenz attractor.
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| Clear[Evaluate[Context[] <> "*"]]; | |
| SetDirectory[NotebookDirectory[]]; | |
| sigma = 10; | |
| rho = 28; | |
| beta = 8/3; | |
| tMax = 50; | |
| s = NDSolve[{x'[t] == sigma*(y[t] - x[t]), | |
| y'[t] == x[t]*(rho - z[t]) - y[t], z'[t] == x[t]*y[t] - beta*z[t], | |
| x[0] == 1, y[0] == 1, z[0] == 1}, {x, y, z}, {t, 0, tMax}, | |
| AccuracyGoal -> 20, PrecisionGoal -> 20, WorkingPrecision -> 40, | |
| MaxSteps -> Infinity, MaxStepSize -> 0.001] | |
| data = Evaluate[{x[t], y[t], z[t]} /. s]; | |
| ParametricPlot3D[data, {t, 0, tMax}, PlotRange -> All, | |
| MaxRecursion -> 8] |
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