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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.

DynPac: A Dynamical Systems Package

Mathematica routines for integrating and plotting solutions of systems of nonlinear ordinary differential equations.

E&F Chaos

E&F Chaos is developed to provide quick information about local and global dynamics and to aid formulating challenging research questions for further mathematical analysis.

FOLI8PAK

Computing inertial manifolds, foliations, and tracking initial conditions.

FOLI8PAK: Foliation Package

Computing inertial manifolds, foliations, and tracking initial conditions.

GAIO (Global Analysis of Invariant Objects)

Global numerical analysis of dynamical systems, computation of (chaotic) invariant sets, invariant manifolds, invariant measures, almost invariant sets.

Global Manifolds 1D

Computation of one-dimensional manifolds; module for DsTool.

Holistic discretisation of dynamical PDEs

Via this page you obtain the 1D spatial discretisation of a dynamical PDE using dynamical systems slow manifold theory.

HomMap

HomMap is an AUTO driver for detection and continuation of homoclinic points and their bifurcations for maps.

iDMC 2.0.10

An integrated, user-friendly, open-source software program developed for the simulation and dynamical analysis of nonlinear models.

LOCA (Library of Continuation Algorithms)

LOCA is a new software library for performing bifurcation analysis of large-scale applications. The source code has been available for download since April 19, 2002.

MatCont

Simulation, continuation, and normal form analysis of dynamical systems.

MATDS

MATLAB-based version of DESIR.

Multifario

Computing manifolds of dynamical systems.

Multifractal estimation---maximum likelihood

Enter data into this web page, then the reported fractal properties are those of multiplicative multifractals that best look like your data.

Normal form of multiscale fast/slow SDEs and ODEs

Via this web page you obtain a normal form of any supplied stochastic differential equation (SDE), or deterministic, autonomous or non-autonomous, ODE, when the SDE has fast and slow modes.
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