|
Topic
|
Book Chapters
|
Homework |
Solutions
|
1
|
One-dimensional
systems and elementary bifurcations (2 weeks)
|
1-4
|
#1
#2 #3 |
#1 #2 #3
|
2
|
Two-dimensional
systems; phase plane analysis (1 week)
|
5-6
|
#4 #5 #6
|
#4 #5 #6
|
3
|
Nonlinear
oscillators, limit cycles and their bifurcations (2.5 weeks) |
7-8
|
#7
#8 |
#7 #8
|
4
|
Lorenz equations
and chaos (2.5 weeks)
|
9
|
#9
|
#9
|
5
|
Iterated
mappings, period-doubling route to chaos, renormalization (2 weeks)
|
10
|
#10
|
#10
|
6
|
Fractals and
strange attractors (2 weeks)
|
11-12
|
|
|
7
|
More advanced
topics, if time permits
|
TBD
|
|
|
