Prof. Bo Deng Syllabus Math 933 Spring 2003

OldH 828

Ph: 472-7219   

bdeng@math.unl.edu

Current Week is in Red.

 

Week

Sections

Topics

Partial Assignment List

1

Review,

4.5, 4.6

Adapted Norm

Hyperbolicity

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

5.55.7

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.