Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 12

Quick Links:

WebCT
Library Reserves
Course Webpage
This Week
Project Information
Project Topics
Documents & Homework
Information
Reading List
Policies
Calendar

Instructor:
Ralf Wittenberg
K-10536, 291-4792
ralf@sfu.ca
Lectures:
M 2:30-3:20pm
W 2:30-4:20pm
in AQ 4130
Text:
Steven Strogatz,
Nonlinear Dynamics and Chaos
Westview Press

Announcements:


Week 12:

  • Lecture 21: 24 November
  • Hopf Bifurcation:
    Supercritical and subcritical Hopf bifurcation
    Reading: Strogatz Ch.8 (8.2), lecture notes
  • Homework Set 9
  • Suggested additional exercises for this lecture (optional):
    8.2.1, 8.2.8, 8.2.9, 8.2.12

  • Lecture 22: 26 November
  • Creation of Oscillations:
    Discussion of second midterm exam; Hopf, saddle-node, infinite-period and homoclinic bifurcations of limit cycles; flows on the torus and quasiperiodicity, Poincare map
    Reading: Strogatz Ch.8 (8.2, 8.3, 8.4, 8.6, 8.7), lecture notes
  • Homework Set 10
  • Suggested additional exercises for this lecture (optional):
    8.3.2, 8.4.3, 8.4.12, 8.6.1, 8.7.1