593G Applied Dynamics and Chaos

From Math Wiki
Jump to: navigation, search


Course Information

Description: Applied Dynamics/Chaos.

Instructor: Casian Pantea. email me

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

Textbook:

Strogatz, Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering

Useful free resources:

Linear algebra notes

Linear Algebra Done Wrong, Treil
Linear Algebra -- wiki textbook

Web goodies

Strogatz's course at Cornell
Wikipedia
Khan Academy


Evaluation

Grading scheme

  • 30% Final exam on December 14 2016, 11AM-1PM in Armstrong 313
  • 25% Midterm exam
  • 45% Homework assignments

Homework

  • 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.

Midterm

  • There will be one in-class midterm exams, on October 20.
  • No make-up midterm will be given.

Final Exam

  • December 14 2016, 11AM-1PM in Armstrong 313.
  • Final is cumulative.

Course Schedule (subject to changes)

Date Topic Resources HW/Exams
Aug 18 Introduction Chapter 1 HW1 posted
Aug 23 Flows on the line Chapter 2
Aug 25 Bifurcations 3.1-3.4
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
Sep 29 Lotka-Volterra
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 18 Review
Oct 20 Midterm
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
Nov 29 Fractals 11
Dec 1
Dec 6
Dec 14 Final exam HW2 due

Inclusivity statement

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.