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 |
|
Announcements:
- Lecture 18: 10 November
- Index Theory:
Index of a curve and fixed point, properties of the index
Reading: Strogatz Ch.6 (6.8), lecture notes
- Homework Set 8
- Suggested additional exercises for this lecture (optional):
6.8.1, 6.8.10, 6.8.11, 6.8.12
- Lecture 19: 12 November
Limit Cycles, Poincare-Bendixson Theorem:
Examples of limit cycles, conditions for existence and non-existence, gradient systems, Liapunov functions; trapping regions, no chaos in the plane, glycolytic oscillations
Reading: Strogatz Ch.7 (7.0, 7.1, 7.2, 7.3, 7.4), lecture notes
- Homework Set 9
- Suggested additional exercises for this lecture (optional):
7.1.2, 7.2.1, 7.2.5, 7.2.6, 7.2.8, 7.2.11, 7.2.13, 7.2.14, 7.2.17, 7.3.2, 7.3.7, 7.3.9, 7.4.2 (try 7.1.9!)
|