Data-Efficient Approach in Learning Koopman Operator for Nonlinear Systems with Multiple Invariant Sets

This repo contains code for https://arxiv.org/abs/2304.11860

The idea is simple: you can leverage symmetry in your system for a better learning outcome for Koopman operator.

Instructions

1. conda create -n pykoopman python=3.10
2. conda activate pykoopman
3. python -m pip install -r requirements.txt
4. jupyter notebook example.ipynb

Run the notebook then you will see all the figures reproduced in the paper.

How to cite

If you find this idea is helpful to your research, you can cite our paper in following bibtex format

@article{pan2023lifting,
title={On the lifting and reconstruction of dynamical systems with multiple attractors},
author={Pan, Shaowu and Duraisamy, Karthik},
journal={arXiv preprint arXiv:2304.11860},
year={2023}
}