Parametric Dynamic Mode Decomposition for nonlinear parametric dynamical systems

This repository, including two datasets and the code, is linked to the preprint Parametric DMD for nonlinear parametric dynamical systems, (https://arxiv.org/abs/2305.06197), authored by Shuwen Sun,  Lihong Feng, Hoon Seng Chan, Tamara Miličić, Tanja Vidakovic-Koch, Fridolin Röder and Peter Benner.

The source code for the proposed method, Parametric DMD, is implemented in MATLAB. This non-intrusive model order reduction technique combines features of Dynamic Mode Decomposition (DMD) and Radial Basis Function (RBF) interpolation to predict the dynamics of parametric nonlinear systems.

The code includes two numerical examples,  the FitzHugh-Nagumo model and the newly-added example regarding flow around a circular obstacle. Please ensure the corresponding data file is extracted into the correct path or placed within the code folder.

If you have any problems or concerns, please contact Shuwen Sun.