Using AUTO for Stability Problems

This website provides information about the mini-course "Using AUTO for Stability Problems" (David Lloyd and Bjorn Sandstede). This mini-course is part of the workshop The stability of coherent structures and patterns that will be held 11-12 June 2012 at the University of Washington in Seattle/Washington.

Overview

The mini-course "Using AUTO for Stability Problems" will provide an introduction to using Auto07p for setting up and solving algebraic and nonlinear boundary-value problems related to pattern formation. Specifically, we will learn how to compute symmetric and asymmetric localized roll structures in the Swift-Hohenberg equation and fronts in the Nagumo equation. In addition, we plan to discuss how the stability of these structures can be assessed in Auto07p or in Matlab. If time permits, we will also explore how wave-train solutions and their essential spectra can be computed using Auto07p. Much of the mini-course will be spent on hands-on examples. Thus, bringing a laptop with Auto07p installed is the best way of benefitting from this mini-course:

The patterns shown to the left are (from top to bottom): 1D localized rolls, planar hexagon pulses, time-periodic planar oscillons, and planar stripe patterns; all of them were computed in Auto07p.

Mini-course materials

The mini-course materials can be downloaded below:

Installation of Auto07p

Downloading Auto07p:

Auto07p can be installed on Linux, Mac, and Windows machines:

There is no need for installing PLAUT, PLAUT04, or GUI94 (in fact, the installation of PLAUT04 can be quite complicated), but a Fortran95 compiler Python need to be installed. After you installed Auto07p, please run one of the demos: instructions can be found at the end of the installation guide for Macs. You can also download a sample ".profile" file that sets your path: change the name of the file to ".profile" and move it to your home directory; you may have to adapt your file depending on where you installed AUTO.

Installation under Linux:

Please see pages 12-13 of the Auto07p manual. In Ubuntu, you can use the Synaptic Download Manager (found under "System -> Administration -> Synaptic Package Manager") to install gfortran and python.

Installation under Mac OS X:

Please see pages 13-14 of the Auto07p manual. Alternatively, follow the more detailed instruction linked to below:

Installation under Windows:

Please see pages 14-15 of the Auto07p manual. It is essential to have a text editor available that can access Auto07p files. Alternatively, it might be easier to install Ubuntu under Windows using Wubi and then follow the instructions for Linux above. Wubi allows you to run Ubuntu alongside Windows and delete it from your system within Windows.

Support:

If you need help with the installation of Auto07p, please first search the internet and online forums and look for solutions there. If nothing works, please contact Bjorn Sandstede and include the following information: your operating system, a detailed list of the commands you tried and the error messages you received, and the version of fortran and python you installed. Please be aware though that we cannot provide extensive technical support given the size of the workshop.

Frequently asked Questions