Numerical Algorithms for Nonlinear Dynamics
&
Existing Program Implementations

Software for bifurcation analysis
AUTO

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AUTO is a software package for continuation and bifurcation problems in ODEs. The package includes HomCont, algorithms for the bifurcation analysis of homoclinic orbits.

Overview

Whatis, where, when, why - history, context, versions, discussions.

Downloads

AUTO97 (FORTRAN) may be downloaded here. Did not try, but I think CYGWIN would be useful here too for compiling under WIN32. – FORTRAN 77 compiler is included in the distribution of CYGWIN.
Beta release of new FORTRAN version AUTO07 may be downloaded here (current beta)

AUTO2000 may be downloaded here ( current version) or from the original site . There is also user guide.

AUTO is designed for *NIX. Nevertheless, command line version may be compiled under WINDOWS with the use of compilers from CYGWIN distro (for more details about CYGWIN).
I've compiled AUTO2000 and examined it's capabilities on several demos included in the distribution. I've tried also PYTHON scripts (interpreter is included in CYGWIN), they are mostly working, but I failed to start graphics.

[Un]necessary details

Details, features, discussions.
The basic characteristics are summarized in the tables:
What it can do and usability and requirements.

[Un]asked recommendations

Installation under Windows, firsthand experience (if any).