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.

1D Maps

Iterate one dimensional maps, displaying cobweb diagrams, bifurcation diagrams, Lyapunov exponents, invariant densities, and escape times.


AnT 4.669

A tool for the simulation and analysis of dynamical systems, developed by the University of Stuttgart Nonlinear Dynamics Group.


ARNI: Algorithm for Revealing Network Interactions

Runner-up - DSWeb 2018 Software Contest

A model-independent algorithm for reconstructing the structural topology of network dynamical systems from time series, Model-free inference of direct network interactions from nonlinear collective dynamics, Nature Communications 8, 2017 (featured in the Complexity Research collection of Nature Communications).

AUTO 2000

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


AUTO 97

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


AUTO-07P

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


BarrierTool

Honorable Mention - DSWeb 2019 Tutorials on DS Software Contest, Student Category

BarrierTool is a MATLAB package for the objective (observer-independent), automated identification of transport barriers in two-dimensional flows.

Brain Dynamics Toolbox

Prize Winner - DSWeb 2018 Software Contest, Postdoc/Junior Faculty Category

The Brain Dynamics Toolbox is an open-source toolbox for simulating dynamical systems in neuroscience. It is aimed at researchers, students and instructors who wish to explore initial-value problems in ODEs, SDEs, DDEs and PDEs using an interactive graphical interface.

Brain Dynamics Toolbox - Getting Started

Honorable Mention - DSWeb 2019 Tutorials on DS Software Contest, Junior Faculty Category

This is a beginner-level training course for the Brain Dynamics Toolbox.

Channelflow

Channelflow is a software system for dynamical-systems analysis of the incompressible Navier-Stokes equations for channel and plane Couette flow.


CIVET (Current-Inspired Visualization and Evaluation of the TASEP)

Runner-up - DSWeb 2018 Software Contest

A software package that provides a visualization of the dynamics associated with the generalized Totally Asymmetric Simple Exclusion Process (TASEP).

Classify Chimeras

Runner-up - DSWeb 2018 Software Contest

A Python Package which provides simple yet widely applicable functions to distinguish different kinds of chimera states, states of coexisting coherence and incoherence.

CMlib - Cell Mapping Algorithms in C++ (A Short Guide)

Runner-up - DSWeb 2019 Tutorials on DS Software Contest, Student Category

Library of cell mapping methods for the global analysis of dynamical systems.

COCO - Continuation Core and Toolboxes for Matlab

Collection of toolboxes for bifurcation analysis and development platform for developers of software for continuation and bifurcation analysis.


COCO (Upgrades)

Prize Winner - DSWeb 2018 Software Contest, Senior Faculty/Professor Category

COCO is a MATLAB-based, object-oriented platform for constructing composite continuation problems, mapping out their solution manifolds, and locating special points on these manifolds.

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