|
Date |
|
Day |
Chapter |
Topics |
| Jan |
9 |
T |
1 |
Introduction |
| |
11 |
R |
1 |
1D Discrete Maps - Fixed
Points, Cobwebs, Stability |
| |
15 |
M |
|
Holiday |
| |
16 |
T |
1 |
Periodic
Orbits/Bifurcations |
| |
18 |
R |
1 |
Itineraries/MATLAB-Python |
| |
23 |
T |
2 |
2D discrete Maps/Stability |
| |
25 |
R |
2 |
Linear Maps |
| |
30 |
T |
2 |
Eigenvalue Problems/Diagonlization |
|
Feb |
1 |
R |
2 |
Nonlinear Maps/Matrix Times
Circle |
| |
6 |
T |
3 |
Lyapunov Exponents |
| |
8 |
R |
3 |
Symbolic Dynamics/Conjugacy |
| |
13 |
T |
3 |
Chaos in Logistic Map |
| |
15 |
R |
|
Exam I (Ch 1-3) |
| |
20 |
T |
4 |
Fractals/Mandelbrot and
Julia Sets |
| |
22 |
R |
4 |
Cantor Set/Iterated
Function Systems |
| |
27 |
T |
4 |
Fractal Dimensions |
| Mar |
1 |
R |
5 |
2D Maps/Chaos |
|
Spring
Vacation - Mar 3-11 |
| |
13 |
T |
5 |
Horseshoe Map |
| |
15 |
R |
13 |
Analysis of Data/Embedding |
| |
20 |
T |
7 |
1D ODEs and Bifurcations |
|
22 |
R |
7 |
2D Linear Systems of ODEs |
| |
27 |
T |
7 |
Nonlinear Systems of ODEs |
| |
29 |
R |
|
Holiday |
| |
30 |
F |
|
Holiday |
| Apr |
3 |
T |
7 |
Applications/Potential
Fields |
| |
5 |
R |
|
Exam II (4-7) |
| |
10 |
R |
8 |
Periodic Orbits and Limit
Sets |
| |
12 |
T |
9 |
Chaos in ODEs |
| |
17 |
T |
10 |
Stable Manifold Theorem |
| |
19 |
R |
11 |
Bifurcations |
| |
24 |
T |
12 |
Cascades in Bifurcations |
|
May |
3 |
R |
|
Presentations, 3:00-6:00 PM |