593G Applied Dynamics and Chaos
Description: Applied Dynamics/Chaos.
Class schedule: Tuesdays, Thursdays, 1-2:15PM in Armstrong 313
Office hours: Tuesdays 5-6PM, Thursdays 3-4PM, 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 December 14 2016, 11AM-1PM in Armstrong 313
- 25% Midterm exam
- 45% Homework assignments
- Three homework sets will be assigned throughout the semester -- 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 20.
- No make-up midterm will be given.
- December 14 2016, 11AM-1PM in Armstrong 313.
- Final is cumulative.
Course Schedule (subject to changes)
|Aug 18||Introduction||Chapter 1||HW1 posted|
|Aug 23||Flows on the line||Chapter 2|
|Aug 30||Overdamped bead on a rotating hoop||3.5|
|Sep 1||Catastrophes; insect outbreak||3.6-3.7|
|Sep 6||Flows on the circle||4.1-4.2|
|Sep 8||Firefly synchronization. Two dimensional systems||4.5; 6.1|
|Sep 13||Linear systems||5.2|
|Sep 15||Linear systems||5.2|
|Sep 20||Fixed points and linearization||6.3|
|Sep 22||Predator-prey models||6.4|
|Sep 27||Conservative systems||6.5||HW1 due|
|Oct 4||Index theory||6.8|
|Oct 6||Limit cycles||7.1|
|Oct 11||More on periodic orbits||7.2||HW2 posted|
|Oct 13||Poincare-Bendixson Theorem||7.3|
|Oct 25||Liapunov functions|
|Oct 27||Oscillating chemical reactions|
|Nov 1||Bifurcations in 2D||8.1|
|Nov 3||Hopf bifurcations||8.2|
|Nov 10||Research project: chemical dynamics in 2D|
|Nov 15||The Lorenz system||9.2|
|Nov 17||Chaos; Strange attractor||9.3|
|Dec 14||Final exam||HW2 due|
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.