Scientific Research by Robert Munafo
Stable localized moving patterns in the 2-D Gray-Scott model (arXiv:1501.01990 [nlin.PS])
2014 draft: PDF
view figures and animations plus several additional animations
(the "Papers" link below has older versions of the paper)
My simulations of Gray-Scott go back to 1994 but the major discoveries began in 2009. Here is some supplemental material:
U-Skate World, an Instance of the Gray-Scott System
Catalog of Patterns at F=0.0620, k=0.0609
Universality-Complexity Classes for Partial Differential Equation Systems
Click here for the main Gray-Scott reaction-diffusion exhibit
My resume (a bit untraditional, like me).
Some related articles:
Why I Do Not Solve Physics (regarding cross-discipline original research).
Cross-Discipline Falsifiability (regarding why I don't try to debunk experts).
My Inverse Equation Solver shows how easy it is to find simple formulas for any number, even the fine-structure constant.
(This page is incomplete at present.)
NOTICE:
Unlike most other pages on this website, my paper and some related material has NOT been made available under a Creative Commons license. Rights are reserved by the Author, and some rights may have also been transferred to the Publisher, if and when Author and Publisher have entered into an agreement related to acceptance of the paper by said Publisher.
The above language is intended to accomplish sincere, accurate
communication by and for users of common, non-legal English. —
IaNaL (I am Not a Lawyer)