https://github.com/wadlo/unstable-manifold

A project implementing new methods for viewing the unstable manifold of partial differential equations. I created the library of functions to do this and applied it to three example system. We are in the process of publishing a research paper with our findings. This is a project was funded by the BYU department of Mathematics.
https://github.com/wadlo/unstable-manifold

Last synced: 27 days ago
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A project implementing new methods for viewing the unstable manifold of partial differential equations. I created the library of functions to do this and applied it to three example system. We are in the process of publishing a research paper with our findings. This is a project was funded by the BYU department of Mathematics.

• Host: GitHub
• URL: https://github.com/wadlo/unstable-manifold
• Owner: wadlo
• Created: 2019-04-11T04:06:10.000Z (almost 6 years ago)
• Default Branch: master
• Last Pushed: 2019-04-15T18:16:48.000Z (almost 6 years ago)
• Last Synced: 2024-12-15T13:46:05.034Z (about 1 month ago)
• Language: MATLAB
• Homepage:
• Size: 61.3 MB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Unstable-Manifold

This project implements new methods for forming the Unstable Manifold of a Partial Differential Equation.  We make a change of coordinates by letting Theta = sigma * e^ (lambda * t), and by doing this, we can produce the manifold leaving in the direction of the eigenfunction.

Included in this project is a folder of core functions for producing the manifold as well as three complete example systems: Nagumo, Gray-Scott, and Shrodinger.  Saved Generated files are included with each example system so the homological equations don't have to be calculated every time the files are run.