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.


Brain Dynamics Toolbox

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

Brain Dynamics Toolbox is an open-source Matlab toolbox for simulating dynamical systems in neuroscience.

Channelflow

Dynamical systems analysis of 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.

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.

Construct center manifolds of ODEs or DDEs

Via this web page you obtain a center manifold of your specified system of ordinary differential equations (ODE) or delay differential equations (DDE), when the ODE/DDE has fast and center modes.


CONTENT 1.5

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

CRP Toolbox

The toolbox contains Matlab® routines for computing recurrence plots, cross/ joint recurrence plots and related problems (e.g. recurrence quantification).


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