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.

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.

Insight Maker

Online program which supports model construction and simulation in the browser.

LAPM, CompartmentalSystems, bc-md

Runner-up - DSWeb 2018 Software Contest

The python packages CompartmentalSystems, LAPM and bgc-md for the analysis of compartmental dynamical systems.

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.

PDDE-CONT

Continuation of periodic orbits and their bifurcations in autonomous and forced delay-differential equations.

pde2path

Matlab package for continuation and bifurcation of 2D elliptic problems.

pde2path

Runner-up - DSWeb 2018 Software Contest

The software tool pde2path is a Matlab package for numerical continuation and bifurcation analysis of FEM based numerical discretizations for PDE systems on one-, two- or three-dimensional domains, possibly coupled with auxiliary constraint equations.

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