Home▸Chaos & Dynamics▸Bifurcation Diagram 3D: Logistic Map Period Doubling, Lyapunov Exponent and Feigenbaum Constants

🌀 Bifurcation Diagram 3D: Logistic Map Period Doubling, Lyapunov Exponent and Feigenbaum Constants

Interactive 3D bifurcation diagram of the logistic and sine maps on a Blender lab bench: a live point cloud of long-run values, a Lyapunov exponent ribbon, a cobweb pane that slides along the r axis, pylons at the superstable parameters, Feigenbaum delta 4.669 and alpha 2.503 measured from the cascade, with seven numerical checks.

Chaos & Dynamics3DModerate60 FPS📱 Mobile-adapted🟠 Blender⇄ 2D version
Bifurcation Diagram 3D: Logistic Map Period Doubling, Lyapunov Exponent and Feigenbaum Constants ↗ Open standalone
⚙ Under the hood

Interactive 3D bifurcation diagram of the logistic and sine maps on a Blender lab bench: a live point cloud of long-run values, a Lyapunov exponent ribbon, a cobweb pane that slides along the r axis, pylons at the superstable parameters, Feigenbaum delta 4.669 and alpha 2.503 measured from the cascade, with seven numerical checks.

bifurcation diagramlogistic mapperiod doublingFeigenbaum constantLyapunov exponentchaosThree.jsBlender

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

What did you find?

Add reproduction steps (optional)