Math 645 ODEs and Dynamical Systems

Instructor: Matthew Dobson
Class meeting: MWF 11:15am-12:05pm LGRT 141
Course Text: Differential Dynamical Systems by James Meiss (either edition is fine)
Office hours: T 1p-2p, W 2:30p-3:30p F 9a-10a or e-mail me to make an appointment.
Office: LGRT 1430 (Tower)
e-mail: dobson@math.umass.edu
Office phone: 545-7194

Course Structure and Grading Policies:

Reading

Article about instability for non-Autonomous linear systems with negative spectra from SIAM Review
See the system in action.


Some additional material on bifurcation by E. Doedel, with numerical methods for finding the bifurcations Lecture Notes and Slides

Homework

Homework 1. Due 9/29.
Ch1: 2, 7, 8. Ch 2: 1.
Also, find equilibria and stability for
x' = (1 - 2x + y) cosh(x + sin(y))
y' = (1 + x - 2y) sinh(x + y)


Homework 2. Due 10/13. Numbers for revised edition. Older edition in parentheses
Ch 2: 14, 16, 19 (14, 16, 19)
Ch 3: 7, 10 ( 5, 8 ).


Homework 3. Due 11/6. Numbers are for revised 2017 edition. Older 2007 edition numbers in parentheses
Note one problem has been moved to HW 4
Ch 4: 1b, 4 a,b,c, 8 (1b, 4 a,b,c, 8).


Homework 4. Due 11/15. Numbers are for revised 2017 edition. Older 2007 edition numbers in parentheses
Ch 4: 12,17,18 (12,16,17)

Homework 5. Due 12/1. Numbers are the same for both editions.
Ch 5: 1
Ch 6: 12


Homework 6. Due 12/11. Numbers are the same for both editions
Ch 8: 1 a,c,e. 3, 15 a, b.

Exams

Midterm 1 will be in class on 11/1/2017.

The final exam will be 12/20/2017 10:30-12:30 in LGRT 141.