Quick Links:
Instructor:
Ralf Wittenberg
K-10536, 291-4792
ralf@sfu.ca |
Lectures:
M 2:30-3:20pm
W 2:30-4:20pm
in AQ 4130 |
Text:
Steven Strogatz,
Nonlinear Dynamics and Chaos
Westview Press |
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Announcements:
- Lecture 6: 22 September
Bifurcations:
Structural stability and bifurcations, curves of zeros and the implicit function theorem; transcritical bifurcation, laser threshold; introduction to pitchfork bifurcation
Reading: Strogatz Ch.3 (3.2, 3.3, 3.4), lecture notes
- Homework Set 2
- Suggested additional exercise for this lecture (optional):
3.3.2
- Lecture 7: 24 September
Bifurcations with Symmetry: Pitchfork Bifurcation:
Supercritical and subcritical pitchfork bifurcation, phase transitions, hysteresis; overdamped bead on a rotating wire
Reading: Strogatz Ch.3 (3.4, 3.5), lecture notes
- Homework Set 3
You may wish to look at Section 3.6 (dynamical systems depending on two parameters, and stability diagrams) while attempting this problem.
Matlab code:
- Suggested additional exercise for this lecture (optional):
3.4.2, 3.4.13, 3.4.16, 3.5.1, 3.5.2, 3.5.4
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