Thanks for great article, I am also working in this direction - above Abrikosov vortices as quark strings/color flux tubes are missing quarks as fractional charges - they can be added like in below image by fractional inward/outward field rotation (getting elementary electric as topological charge for pi rotation), e.g extending the model toward Landau-de Gennes.

Introduction with links: https://community.wolfram.com/groups/-/m/t/2856493

I would gladly discuss, collaborate - especially regarding help with extension of above simulations.

Hi Dr. Gianni Tallarita, Thanks for the very interesting information.
I am learning deep neural network using MMA and interested in applying DNN to dynamical system. Is it possible for you to share the MMA codes, especially about the following comments?

"While the default function NDSolve does have a built - in RK procedure, I found that this wasn't sufficient to solve this problem . ..... .Therefore, I decided to code my own system of evolution using the Neural Network formalism built into Mathematica . ....Written in Neural Graph format, the above evolution equations look like this :"

I am reading documents for the DNN from Wolfram but most examples are fragmented for a single layer and I would like to understand DNN in detail.

Regards.
Sangdon Lee

-- you have earned Featured Contributor Badge Your exceptional post has been selected for our editorial columns Staff Picks http://wolfr.am/StaffPicks and Publication Materials https://wolfr.am/PubMat and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!