S17 Class 08: 2D Nonlinear

 

Class 08:
Before class, watch the lecture material linked below and do the activity posted on Piazza.
Post at least one question or comment on Piazza (access via Canvas or directly).  See "Check Yourself" Q1 for details.
Check yourself via the Class 08 Check Yourself on Canvas (Due by 11:59pm on Tues Feb 13)
In class, we'll work on related ideas: (see below for activity file)
After class, complete the homework (problems due Friday Feb 24th)

Video summary:
Watch Steve's lecture on 2D nonlinear systems
67 minutes (Steve's entire lecture with a couple minutes edited out if you look at the times below)
Corresponding text: sections 6.0-6.4

V01 (St)  |  Linearizing about a fixed point in 2D  (00:05 to 9:05)  |  9 min
V02 (St)  |  Usefulness of linear analysis  (9:10 to 15:07)  |  6 min 
V03 (St)  |  Example of linear analysis failing  (15:20 to 34:30)  |  19 min
V04 (St)  |  Competition between two species example  (35:43 to 53:10)  | 17 min
V05 (St)  |  Using local linearization for global information  (53:31 to 1:07:00)  |  14 min

 

Activity17-02-14_2dnonlinear.pdf160 KB