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 16: 3 November
- Linear Stability Analysis and its Failure, Population Dynamics:
Linear stability analysis, hyperbolic fixed points and the Hartman-Grobman theorem; polar coordinates, example of a linear centre/nonlinear spiral; population dynamics, competition models, competitive exclusion
Reading: Strogatz Ch.6 (6.3, 6.4), lecture notes
- Homework Set 7
- Suggested additional exercises for this lecture (optional):
6.3.12, 6.4.1, 6.4.4, 6.4.6, 6.4.7 (improved laser model)
- Lecture 17: 5 November
Conservative and Reversible Systems:
Conservative systems, nonlinear centres, reversible systems; pendulum, energy conservation and modes of oscillation, cylindrical phase space, damped pendulum
Reading: Strogatz Ch.6 (6.5, 6.6, 6.7), lecture notes
- Homework Set 8
- Suggested additional exercises for this lecture (optional):
6.5.2, 6.5.8, 6.5.15-18 (more on the bead on a rotating hoop), 6.6.1, 6.6.5, 6.7.1
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