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.”