The images displayed in this gallery are captured from actual moving objects like a fluttering oak leaf or from made-up systems that so far as we know exist only as mathematical expressions. If you click on one of the small images on this page, you will be presented with an 800X600 pixel image and a brief explanation of how the image is related to the mathematics. If you have the time and are so inclined, by following all the links in these explanations you can get a pretty good understanding of the system dynamics. Otherwise just enjoy these crude sketches from natures portfolio. They are indeed crude. The computer can not begin to capture the fine detail of the real image.

All the images in this gallery are the property of M. Casco Associates and are protected by copyright laws of the United States and other countries. Please contact mcasco@mcanv.com for permission to use this material in any way other than viewing on this website. We will most likely grant permission for non-commercial use of any images here but we are curious to what use they might be put. If there is any interest in a larger size suitable for desktop decoration, 1600X1200 pixels, or even larger sizes, let us know. They may be available for sale in digital or print form.

Double Well 0	Double Well 120	Double Well 240
Duffing 0	Duffing 120	Duffing 240