S17 Class 12: Limit Cycles


Class 12:
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 12 Check Yourself on Canvas (Due by 11:59pm on Sun Mar 5th)
In class, we'll work on related ideas: (activity will be posted)
After class, complete the homework (problems due Friday Mar 24th)

Video summary:
Watch most of Steve's lecture on limit cycles (66 min)
Book sections: 7.2-3



V01 (St)  |  Ruling out closed orbits  (0:00 to 17:15)  |  17 min
V02 (St)  |  Proof of Dulac's criterion and example  (17:15 to 28:00)  |  11 min
V03 (St)  |  Constructing a region with a limit cycle (28:34 to 43:33)  |  15 min
V04 (St)  |  Poincaré-Bendixson example: simple  (43:33 to 51:00)  |  7 min
V05 (St)  |  Intro to glycolysis example  (51:07 to 1:06:35)  |  15 min
V06 (St)  |  (optional) End of glycolysis example (1:06:35 to end)  |  10 min