Appendix to: Chaotic Self-Organizing Behavior in Low-Dimensional Lotka-Volterra Equations
WARNING: This applet displays a 3D phase portrait projection of the specific solutions of a 4 dimensional Lotka-Volterra System of Equations with self-organizing chaotic behavior. Unfortunately--since I'm not the best at optimizing my code--it may take a very long time to load in your web-browser (as much as 4-5 minutes)!
If you don't want to wait, check out this page https://www.geogebra.org/m/tsbftxud which has fast-loading static and animated-GIF images of the below applet, along with additional information about self-organizing chaotic phenomenon. This particular Lotka-Volterra system was discovered by J. A. Vano, J. C. Wildenberg, M. B. Anderson, J. K Noel and J. C. Sprott. You can read more about their methods here: https://sprott.physics.wisc.edu/pubs/paper288.htm If you DO decide to wait for the below applet, note that you may need to "jump start" the applet after the long wait. Just put your cursor in any of the input boxes on the left, make a small adjustment (of .01), and press enter. This should work to jump start the applet. If you want to discuss any ideas for how to optimize this code to get it to run faster on GeoGebra.org, please email me! greg period petrics at northernvermont period edu