Drawing Phase Portraits for Nonlinear Systems

This video shows how to draw phase portraits and analyze fully nonlinear systems. Specifically, we identify all of the fixed points, linearize around these fixed points, analyze the stability with eigenvalues and eigenvectors, and then infer global nonlinear dynamics outside of these regions.

Playlist:    • Engineering Math: Differential Equati...  
Course Website: http://faculty.washington.edu/sbrunto...

@eigensteve on Twitter
eigensteve.com
databookuw.com

This video was produced at the University of Washington

%%% CHAPTERS %%%
0:00 Overview and deriving equations from F=ma
4:30 Finding fixed points of system
8:35 Linearizing near fixed points
10:09 First fixed point: A linear center
12:24 Second fixed point: An unstable saddle
15:01 Drawing full global phase portrait
22:25 Adding friction and drawing phase portrait