Lorenz Attractor Simulator
The Lorenz Attractor is a classic example in Chaos Theory, developed by Edward Lorenz. This model visually represents a set of differential equations originally formulated to model atmospheric convection. The Lorenz Attractor is significant because it illustrates how chaotic systems behave, where even the slightest change in initial conditions can lead to drastically different outcomes.
The lines on the attractor never exactly overlap, and if the attractor is initialized at two nearby points, the pathways eventually diverge and no longer resemble each other.
The three differential equations are:
x' = σ(y − x)
y' = x(ρ − z) − y
z' = xy − βz
Simulation
Move your mouse across the simulation to change the camera angle.