Search
DSWeb Dynamical Systems Software aims to collect all available software on dynamical systems theory. This project was originally launched during the special year Emerging Applications of Dynamical Systems, 1997/1998, at the Institute for Mathematics and its Applications. The information here includes functionality, platforms, languages, references, and contacts.

Please note that DSWeb is not responsible for any direct, indirect, special, incidental, or consequential damages arising from the use of the content provided here.

AUTO 2000

By Randy Paffenroth and Eusebius Doedel
Print

AUTO 2000 is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community. Originally, AUTO was written in Fortran; see AUTO 97.

Randy Paffenroth developed a C and Python version, AUTO 2000, with lots of nice extra features, like a 3D data viewer, for example.

AUTO also contains the package HomCont which was developed by Alan Champneys, Yuri Kuznetsov and Björn Sandstede. HomCont is a toolbox for numerical homoclinic bifurcation analysis. It deals with continuation of codimension-1 homoclinic orbits to hyperbolic and saddle-node equilibria, including the detection of many codimension-2 singularities and the continuation of these singularities in 3 or more parameters.

KeywordsBifurcation analysis, Continuation
Model
  • Maps
  • ODEs
Software Type
  • Package
Language
  • C
  • Python
Platform
  • Unix
  • Linux
Availability
Free to download from the internet. AUTO 2000 is now on the AUTO-07P sourceforge pages.

Contact Person
References to Papers
  1. E.J. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Fairgrieve, Yu.A. Kuznetsov, B. Sandstede & X. Wang (2001)
    "AUTO 2000: Continuation and bifurcation software for ordinary differential equations (with HomCont)" (see the homepage for downloads) 
    Technical Report, California Institute of Technology.
  2. A.R. Champneys, Yu.A. Kuznetsov & B. Sandstede (1996)
    "A numerical toolbox for homoclinic bifurcation analysis"
    Int. J. Bifurcation & Chaos 6: 867-887.
  3. E.J. Doedel & J.P. Kernévez (1986) 
    "AUTO: Software for continuation problems in ordinary differential equations with applications"
    Technical report, Applied Mathematics, California Institute of Technology.
  4. E.J. Doedel (1981)
    "AUTO, a program for the automatic bifurcation analysis of autonomous systems"
    Cong. Numer. 30: 265-384
Categories: Software
Tags:

Please login or register to post comments.

Name:
Email:
Subject:
Message:
x

Software Search