Flows on the Circle - Dynamical Systems | Lecture 11

One dimensional dynamical systems don't only need to be posed on the line. To capture simple oscillatory or periodic phenomena we can pose them on the circle. In this video lecture we introduce the basics of flows on the circle through illustrative examples. We discuss uniform and nonuniform oscillators, while also exploring familiar concepts such as fixed points and bifurcations.
This course is taught by Jason Bramburger for Concordia University.
More information on the instructor: hybrid.concord...
Follow @jbramburger7 on Twitter for updates.

[@furetosan]

iii) at 24:48 is supposed to be iv) I believe

[@joachimschnur2563]

Hi Jason,
Thanks for this great video series - got hooked on nonlinear dynamical systems now!
But You made a small mistake:
Uniform Oscillator: Period=2Pi/(w1-w2)=1/(1/T1-1/T2)=T1T2/(T2-T1)

[@jasonbramburger]

Thanks for the catch!

[@ghjbvgjffv2951]

Are you Ed Snowden?

[@jasonbramburger]

yes

[@abhisheksingh-li6zo]

Which book would you recommend , very nice video

[@jasonbramburger]

In the intro video I mention Strogatz's book