Software in alphabetical order

AUTO 2000

AUTO is a software package for continuation and bifurcation problems in ordinary differential equations.

BOV-method

Non-Public software for the computation of normally hyperbolic invariant manifolds in discrete dynamical systems.

CANDYS/QA

Computer Analysis of Nonlinear DYnamical Systems/Qualitative Analysis. A software package for numerical bifurcation analysis of dynamical systems.

CONTENT 1.5

CONTENT is designed to perform simulation, continuation, and normal form analysis of dynamical systems. The current version supports bifurcation analysis of ODE's, iterated maps, and evolution PDE's in the unit interval.

DDE-BIFTOOL

DDE-BIFTOOL is a Matlab package for numerical bifurcation analysis of delay differential equations with several fixed discrete delays.

DsTool

DsTool is a toolkit for exploring dynamical systems. It can do simulation of diffeomorphisms and ODE's, find equilibria and compute their one-dimensional stable and unstable manifolds.

Dynamics

Dynamics is designed for the exploration of two-dimensional maps, both diffeomorphisms and noninvertible maps.

Dynamics Solver

Dynamics Solver is intended to solve initial and boundary-value problems for continuous and discrete dynamical systems. It is possible to draw phase-space portraits, Poincaré maps, Liapunov exponents, cobweb diagrams, histograms and bifurcation diagrams.

GAIO

GAIO is experimental software for the approximation of invariant sets and invariant measures in dynamical systems.

Geomview

Geomview is an interactive written at the Geometry Center for viewing and manipulating geometric objects in three dimensions, or in three three-dimensional projections of four dimensional space.
Note that you can browse and download the Geomview Documentation online.

Global Manifolds 1D

Software for globalizing one-dimensional stable and unstable manifolds for maps. This upgraded version contains the method to find the stable manifold of a planar map without using the inverse.

Global Manifolds 2D

Non-Public software for globalizing two-dimensional stable and unstable manifolds for maps in R³.

Multifario

Multifario is a set of subroutines and data structures for computing manifolds of dynamical systems.

PDECONT 1.01

This code implements some Newton-Picard single shooting algorithms for the continuation of periodic solutions of large-scale problems. The method tries to exploit the fact that many systems have only low-dimensional dynamics. Although the primary goal was the computation of periodic solutions of PDE's, the code can also be used for large ODE systems.

Phaser

A universial simulator for dynamical systems, Phaser provides a powerful, yet inviting, computing environment specifically crafted for the graphical and numerical simulations of differential and difference equations, from linear to chaotic.

Strong (Un)Stable Manifolds

Software for computing one-dimensional strong stable and unstable manifolds for vector fields.

XPP

XPP is a package for simulating and numerically solving dynamical systems. XPP can handle Differential equations, Delay equations, Volterra integral equations, Discrete dynamical systems, Markov processes, and Bifurcations.