This is a Python package for the stability analysis of nonlinear differential equations using JAX [1] and pyDMD [2] [3]. The package is still in development and is not yet ready for use.
Authors: João Biu (joaopedrofbiu@tecnico.ulisboa.pt), Miguel Lameiras (miguel.lameiras@tecnico.ulisboa.pt)
[1] https://github.com/google/jax
[2] Demo et al., (2018). PyDMD: Python Dynamic Mode Decomposition. Journal of Open Source Software, 3(22), 530, https://doi.org/10.21105/joss.00530 (https://github.com/PyDMD/PyDMD.git)
Using pip:
pip install nldesa
For developers
- Clone the repository
cd NLDESA && pip install -e .
Each yellow pixel in the plot corresponds to a "stable" solution of the non linear Mathieu Equation. Each frame has 350*350 solutions computed in around 190 seconds.
Video with full resolution availabe in the docs!
