The Ejs Poincare model computes the solutions to the set of non-linear equations, x' = x (a - b + z + d (1-z²)) - c y,  y' = y (a - b + z + d (1-z²)) + c x, z' = a z - (x² + y² + z²), where each prime denotes a time derivative.  The simulation displays a three-dimensional plot of the trajectory of the oscillator and a projection on the plane where y = 0.  The evolution parameters can be changed via textboxes.  You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting "Open Ejs Model" from the pop-up menu item.  

Ejs Poincare model was created using the Easy Java Simulations (Ejs) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double clicking the ejs_ehu_chaos_Poincare.jar file will run the program if Java is installed.  Ejs is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models.  Additional Ejs models for non-linear dynamics and chaos are available.  They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

Please note that this resource requires at least version 1.5 of Java (JRE).