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February 2, 2017 15:03
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Lorentz attractor with Polymath + Roassal viz
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sigma := 10.0. | |
r := 28.0. | |
b := 8.0/3.0. | |
dt := 0.005. | |
system := ExplicitSystem | |
block:[:v :t | |dx dy dz x y z| | |
x := v at: 1. y := v at: 2. z := v at: 3. | |
dx := sigma * (y - x). | |
dy := r * x - y - (x * z). | |
dz := (-1 * b * z + (x * y)). | |
{dx. dy. dz}. | |
]. | |
stepper := RungeKuttaStepper onSystem: system. | |
solver := (ExplicitSolver new) stepper: stepper; system: system; dt: dt. | |
state := #(10.0 10.0 10.0). | |
values := (0.0 to: 100.0 by: dt) collect:[:t | | |
state := stepper doStep: state time:t stepSize: dt]. | |
b := RTGrapher new. | |
ds := RTData new. | |
ds dotShape ellipse size: 1; color: (Color blue). | |
ds points: values. | |
ds x: [:v | v at: 1]; y: [:v| v at: 2]. | |
b add: ds. | |
b build. | |
b |
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