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Author:Roy Williams
Description: Pattern formation from differential equations - an exhibition of images and movies. Morphogenesis from a Reaction-Diffusion System: Xmorphia is intended to show the variety of patterns that may be exhibited by a relatively simple parabolic partial differential equation. Such systems are the focus of mathematical research, attempting to reconcile the complex organic look of the solutions with the simplicity of the equations being solved. The system solved by Xmorphia is a version of the Gray-Scott model, and was taken from: John E. Pearson, Complex Patterns in a Simple System, Science, 261, 189, 9 July 1993.

Levels: College, Research
Languages: English
Resource Types: Graphics, Video, Articles
Math Topics: Partial Differential Equations

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