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.

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.

SSMtool

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

SSMtool is a MATLAB-based computational tool for computing two-dimensional spectral submanifolds (SSMs) in nonlinear mechanical systems with arbitrary degrees of freedom.

MatContM

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

A set of four tutorials for the toolbox MatContM.

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.