Chaos Theory Explorer

Visualize the Butterfly Effect.

📜 The Origins

The Lorenz Attractor and Mandelbrot Sets show that order can exist within chaos. This explorer lets you visualize the beautiful, fractaling complexity of the universe.

🚀 Master the Tool

Select a chaotic model and adjust the parameters. Watch as simple equations create infinite, self-similar patterns that mimic everything from clouds to heartbeats.

Bifurcation Explorer

Visualizing population growth stability vs chaos (The Logistic Map).

Generations100

More points = denser graph.

Zoom Level1x

Zoom into the chaotic region (r=3.5+).

What am I looking at?

This is the "Bifurcation Diagram". As the growth rate (X-axis) increases, the population (Y-axis) splits from a single stable value into 2, then 4, then 8... until it hits Chaos (the fuzzy bands).