Sparse Identification of Nonlinear Dynamics (SINDy)

'Notebooks' Folder contains the Jupyter Notebooks.

1. Lorenz System

   1a. ODE modeling

   1b. Implementing PySINDy for discovery w/ and w/out noise

   1c. Implementing physics informed neural network for spatial/temporal simulation

2. Korteweg - De Vries & Burgers Equations

   2a. PDE modeling

   2b. Implementing PySINDy/PDE-FIND for discovery

   2c. Implementing physics informed neural network for spatial/temporal simulation

3. Waves

   3a. Modeling

   3b. PySINDy/PDE-FIND governing equation discovery

   3c. Implementing neural network for spatial/temporal simulation - maybe

4. Concluding remarks & analysis/presentation

This work is guided by the book Data Driven Science and Engineering by Brunton and Kutz.

matplotlib widget and interactive plots requires Jupyter Lab with nodejs installed. Otherwise, switch to %matplotlib inline or %matplotlib notebook if using Jupyter Notebook. inline will not render animations. nodejs backend is useful.