Non-Normal Linear Systems and Transient Energy Growth: Bypass Transition to Turbulence

This video investigates what happens to a linear system of differential equations when we have repeated eigenvalues and non-normal system matrices "A". These "non-normal" systems are very important in turbulence and provide one important route to turbulence. 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 Overview of non-normal dynamics 5:20 Example non-normal system 8:07 Python code example 9:55 Matlab code example 14:01 Computing eigenvectors of non-normal system 18:53 Examples of non-normal fluid systems 24:10 Bypass transition to turbulence in fluids