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March 13, 2023 17:06
Demo for Lorenz Attractor from the Plots.jl documentation
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using Plots | |
# define the Lorenz attractor | |
Base.@kwdef mutable struct Lorenz | |
dt::Float64 = 0.02 | |
σ::Float64 = 10 | |
ρ::Float64 = 28 | |
β::Float64 = 8/3 | |
x::Float64 = 1 | |
y::Float64 = 1 | |
z::Float64 = 1 | |
end | |
function step!(l::Lorenz) | |
dx = l.σ * (l.y - l.x) | |
dy = l.x * (l.ρ - l.z) - l.y | |
dz = l.x * l.y - l.β * l.z | |
l.x += l.dt * dx | |
l.y += l.dt * dy | |
l.z += l.dt * dz | |
end | |
attractor = Lorenz() | |
# initialize a 3D plot with 1 empty series | |
plt = plot3d( | |
1, | |
xlim = (-30, 30), | |
ylim = (-30, 30), | |
zlim = (0, 60), | |
title = "Lorenz Attractor", | |
legend = false, | |
marker = 2, | |
) | |
# build an animated gif by pushing new points to the plot, saving every 10th frame | |
@gif for i=1:1500 | |
step!(attractor) | |
push!(plt, attractor.x, attractor.y, attractor.z) | |
end every 10 |
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