*site optimized for [pc] firefox

Chaos Theory : Lorenz « Butterfly » Model

...deterministic chaotic system (Lorenz, 1963)...

Lorenz (1963) simplified the system by Saltzman (1962) meant to study finite-amplitude convection (a set of three ordinary differential equations). Co-existing steady-state and chaotic solutions [i.e. their trajectory in the 3D X-Y-Z space] could/can thus be derived. Here you can test the system by varying the model's three parameters and visualize in the X-Z space.

Number of model integrations (t : 1 to T) :
Initial X state (Xt=0) :
Initial Y state (Yt=0) :
Initial Z state (Zt=0) :
σ :
ρ :
β :
Time step :
Change the parameters to test the Lorenz' chaotic, stable-state system (JS) :