Current Week is in Red.
Week |
Sections |
Topics |
Partial Assignment List |
|
1 |
Review, 4.5, 4.6 |
Adapted NormHyperbolicity |
p129: 4.1*, 4.3*. (Due on Tuesday, Jan. 21) |
|
2 |
4.7 |
Conjugacy of Linear Flows |
p129: 4.5*, 4.6*, 4.8* (Due on Wednesday, Jan. 29) |
|
3 |
5.1, 2 |
Reviews on IFT, CMT |
|
|
4 |
Notes |
Stable Manifold |
|
|
5 |
Notes
|
Stable Manifold |
Notes, page 2-9-7: #1,2,3,4. (Due on
Monday, Feb. 17) |
|
6 |
Notes |
Local Stable Manifold |
Notes, page 2-9-7(d), proof of differentiability. (Due on Monday
Feb. 24) |
|
7 |
5.5—5.7 |
Hartman-Grobman Thm
|
To be assigned |
|
8 |
|
Poincare Maps
|
Take Home Exam, Due Wed. March 12. |
|
9 |
|
Poincare Maps |
|
|
10 |
|
Spring
Break
|
|
|
11 |
7.2 |
Saddle-Node Bif. |
|
|
12 |
7.3 |
Period-Doubling Bif.
|
7.1, 7.2, 7.3, 7.6(a) (Due Wed. April
9) |
|
13 |
7.4 |
Hopf Bifurcation |
7.7, 7.8, 7.9 (Due Wed.
April 16) |
|
14 |
|
Center Manifold |
Prof of Existence of Center-Stable Manifold (Due Wed. April 23) |
|
15 |
Notes |
Homoclinic Bifurcations |
|
|
16 |
Review |
|
|
*Homework problems to hand
in.