Math 493H/593G Fall 2014
Description: Applied Dynamics/Chaos.
Class schedule: Tuesdays, Thursdays, 10:00-11:15AM in Armstrong 313
Office hours: Tuesdays 2-3PM, Thursdays 5-6PM, and by appointment, in Armstrong Hall 305B
Info sheet containing more or less the stuff on this webpage.
Textbooks and resources
Useful free resources:
Linear algebra notes
- 30% Final exam on Tuesday December 11 2014, 8AM-10AM in Armstrong 315
- 25% Midterm exam
- 45% Homework assignments
- Homework will be assigned once every three weeks, and due two weeks later (please see the course schedule below for exact dates).
- Late turn-ins will not be accepted.
- There will be one in-class midterm exams, on October 21.
- No make-up midterm will be given.
- Tuesday December 11 2014, 8AM-10AM in Armstrong 315.
- Final is cumulative.
Course Schedule (subject to changes)
|Aug 19||Introduction||Chapter 1|
|Aug 21||Flows on the line||Chapter 2|
|Aug 28||Overdamped bead on a rotating hoop||3.5|
|Sep 2||Catastrophes; insect outbreak||3.6-3.7|
|Sep 4||Flows on the circle||4.1-4.2||HW 1 posted|
|Sep 9||Firefly synchronization. Two dimensional systems||4.5; 6.1|
|Sep 11||Linear systems||5.2|
|Sep 16||Linear systems||5.2|
|Sep 18||Fixed points and linearization||6.3|
|Sep 23||Predator-prey models||6.4|
|Sep 25||Conservative systems||6.5|
|Oct 7||Index theory; limit cycles||6.8, 7.1||HW 2 posted|
|Oct 9||More on periodic orbits. Poincare-Bendixson Theorem||7.2-7.3|
|Oct 21||Midterm||Midterm solutions|
|Oct 28||Examples of oscillatory behavior||7.3, 7.5|
|Oct 30||Liapunov functions|
|Nov 6||Oscillating chemical reactions||HW 2 due|
|Nov 11||Bifurcations in 2D||8.1|
|Nov 13||Hopf bifurcations||8.2|
|Nov 18||Research project: chemical dynamics in 2D|
|Nov 20||The Lorenz system||9.2||HW 3 posted|
|Dec 2||Chaos; Strange attractor||9.3|
|Dec 9||Math modeling: bird flocks|
|Dec 11||Final exam|
The West Virginia University community is committed to creating and fostering a positive learning and working environment based on open communication, mutual respect, and inclusion. If you are a person with a disability and anticipate needing any type of accommodation in order to participate in this class, please advise me and make appropriate arrangements with the Office of Accessibility Services (293-6700). For more information on West Virginia University's Diversity, Equity, and Inclusion initiatives, please see http://diversity.wvu.edu.