Simon Fraser University Department of Mathematics
Fall 2003
MATH 467-3:
Dynamical Systems
Week 13
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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 notes for
Chapter 9
Homework Set 10
due 4 December
Week 13:
Lecture 22:
1 December
Lorenz Equations:
Poincare maps; introduction to the Lorenz equations and chaos
Reading
: Strogatz Ch.8 and 9(8.7, 9.2, 9.3, 9.4),
lecture notes
Homework Set 10
Matlab Code:
lorenzode.m
Definition of Lorenz ODEs
plot_lorenz.m
Integration of Lorenz equations, and 2-d and 3-d plots
plot_lorenz2.m
Solution of Lorenz equations for two initial conditions
Suggested additional exercises for this lecture (optional):
8.7.1, 8.7.5, 9.2.1, 9.2.2, 9.2.3, 9.2.4, 9.5.1
Poster Session:
4 December
Location TBA