This video introduces the idea of chaos, or sensitive dependence on initial conditions, and the importance of integrating a bundle of trajectories to propagate uncertainty. We also explore how to vectorize numerical integration in Python and Matlab to make the algorithm orders of magnitude more efficient.
Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/
@eigensteve on Twitter
eigensteve.com
databookuw.com
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Propagating uncertainty with bundle of trajectory
6:30 Slow Matlab code example
11:06 Fast Matlab code example
17:09 Python code example