Home▸Chaos & Dynamics▸Lorenz Attractor (2D): Butterfly Projection, Lyapunov Exponent and Lorenz Map

🦋 Lorenz Attractor (2D): Butterfly Projection, Lyapunov Exponent and Lorenz Map

2D companion of the Lorenz attractor sim: RK4 projections of the butterfly, two trajectories showing sensitive dependence, a measured Lyapunov exponent, the Lorenz map and regime checks against the Hopf threshold.

Chaos & Dynamics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

2D companion of the Lorenz attractor sim: RK4 phase-plane projections, two nearby copies showing sensitive dependence, a Benettin Lyapunov exponent, the Lorenz map of z maxima and checks against the Hopf threshold.

Lorenz AttractorChaos TheoryStrange AttractorLyapunov ExponentPhase Space

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install