|
Date |
|
Ch |
Topics |
Aug |
24 |
|
Introduction |
| |
29 |
1 |
1D
Fixed Points, Cobwebs, Stability |
| |
31 |
|
Tropical Storm! |
|
Sep |
4 |
|
Labor Day |
| |
5 |
1 |
Periodic Orbits/Bifurcation |
| |
7 |
1 |
Itineraries/MATLAB |
|
12 |
2 |
2D Maps/ Stability |
| |
14 |
2 |
Linear Maps/ |
| |
19 |
2 |
Eigenvalue
Problems/Stability |
| |
21 |
2 |
Diagonalization/Nonlinear Maps |
| |
26 |
2,3 |
Matrix Times Circle/Lyapunov Exponents |
| |
28 |
3 |
Symbolic Dynamics/Conjugacy |
| |
3 |
3 |
Chaos in Logistic Map |
| |
5 |
4 |
Fractals/Julia Sets |
| |
10 |
|
Vacation |
|
Oct |
12 |
|
Exam I |
| |
17 |
4 |
Cantor Set/IFSs |
|
19 |
4 |
Fractal Dimensions |
| |
24 |
5 |
2D Maps/Chaos |
| |
26 |
5 |
Horseshoe Map |
| |
31 |
13 |
Analysis of Data/Embedding |
| |
|
|
Exam II - Take Home :) |
| Nov |
2 |
7 |
1D Differential Equations/Bifurcations |
| |
7 |
7 |
2D Differential Equations |
| |
9 |
7 |
2D Linear Systems - Behavior |
|
14 |
7 |
2D Nonlinear
Systems/Potentials |
| |
16 |
7 |
Lotka-Volterra Systems |
| |
21 |
8 |
Periodic Orbits/Limit Sets |
| |
22 |
|
Thanksgiving |
| |
23 |
|
Thanksgiving |
| |
24 |
|
Thanksgiving |
| |
28 |
|
Exam III |
| |
30 |
9 |
Forced Oscillations/Surface
of Section |
Dec |
5 |
|
Epilogue |
| |
12 |
|
Presentations |