Lorenz Attractor

Lorenz’s three chaotic equations are modeled here:

frac{dx}{dt} = sigma (y – x)
frac{dy}{dt} = x (rho – z) – y
frac{dz}{dt} = xy – beta z

The differential equations are represented with stocks and flows modeling the differental equations. The values for sigma, rho, beta, inital x, inital y, and inital z can all be adjusted using sliders. Run the model to see a three dimensional graph of the path.

Original model by Richard Salter & Jonathan Salter. Described in Dynamic Modeling by Bruce Hannon & Matthias Ruth, Ch. 37.3.

Running this model:
1. Click on the “Capture” button in the tool bar.
2. Click “Load” next to “Capture.”
3. Click “Exec” to run the model through multiple iterations. Click “Stop” to stop the graph.
4. To run the model step by step, click “Capture,” “Load,” “Init,” then “Step.”