MDBM - Multi-Dimensional Bisection Method

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

An efficient and robust root-finding algorithm, which can be used to determine whole high-dimensional submanifolds (points, curves, surfaces…) of the roots of implicit non-linear equation systems, even in cases, where the number of unknowns surpasses the number of equations.

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.

PDEcont

Bifurcation analysis of periodic solutions of PDEs and large-scale ODE systems.

PHASER

Educational and Research Animator/Simulator for Dynamical Systems.

PyDMD - Python Dynamic Mode Decomposition

Prize Winner - DSWeb 2019 Tutorials on DS Software Contest, Junior Faculty Category

PyDMD is a Python object-oriented and documented package that uses Dynamic Mode Decomposition for a data-driven model simplification based on spatiotemporal coherent structures.

PyDSTool

PyDSTool is an integrated simulation, modeling and analysis package for dynamical systems. It also contains a library of classes for scientific computing that utilizes dynamical systems.

Rauto

Rauto is a command line interface to AUTO.

SBSDS - Stability and Bifurcation of Switched Dynamical System

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

SBSDS is a stability analysis package of switched dynamical systems based on the fundamental solution matrix where each switching is calculated separately by saltation matix.

SciLab/Scicos

Provides a flexible system modeler in both equation and GUI form.

Slow manifold of multiscale fast/slow SDEs or ODEs

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