The dynamical equations for the Lorenz System are:

$$\begin{aligned}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x - y - xz \\
\dot{z} & = -\beta z + xy
\end{aligned} $$
Explore the Lorenz attractor by varying the parameters with the tools below. The rotation of the attractor can be controlled by positioning the mouse in the viewscreen.

Set particle number (设置粒子数):

Set particle radius (设置粒子的半径):

$\sigma$
10

$\rho$
28

$\beta$
2.6

Canvas Color (画布颜色):

Particle Color (粒子的颜色):

Chaos Lab is written with open-source tools and is optimized for Google Chrome and Firefox 13+. It uses the MathJax, JSColor, and JSNumeric libraries.

This project was supported
in part by Drexel University's Department of Physics, Drexel's Nonlinear Dynamics Group (PI: Dr. Robert Gilmore), and NSF Grant PHY-0754081.

Chaos Lab by Timothy Jones is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. Images produced by this application are yours to use as you please. Please direct questions
to tdj28@drexel.edu.

Find the beauty in chaos!