AUTO is a versatile continuation package for solving boundary-value problems written by Eusebius Doedel and his collaborators.

• News: Auto07p is on Github. Version 0.9.3 released in Aug 2021 supports Python 3.
• Installation: Please refer to the installation instructions for auto07p for my notes on installing AUTO.
• Documentation: Two files explaining the format of the auto07p output and its equations files are posted in the folder auto07p_documentation.

This tutorial provides an introduction to computing spatial patterns using auto07p. The tutorial was developed by David Lloyd and Bjorn Sandstede for the mini-course Using AUTO for Stability Problems, which ran as part of the workshop Stability of coherent structures and patterns that was held during 11-12 June 2012 at the University of Washington in Seattle.

• View the course notes in PDF format
• View and downlad the source code for the tutorial.

HomCont, developed by Alan Champneys (University of Bristol), Yuri A Kuznetsov (Utrecht University), and Bjorn Sandstede (Brown University), is a numerical toolbox for homoclinic bifurcation analysis designed for use with AUTO. HomCont deals with continuation of codimension-one heteroclinic and homoclinic orbits to hyperbolic and saddle-node equilibria, including the detection of many codimension-two singularities and the continuation of these singularities in three or more parameters. HomCont has been incorporated into AUTO and XPP.