Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 4

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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 4:

  • Lecture 8: 29 September
    Scaling and Nondimensionalization:
    Dimensional analysis, singular perturbations; imperfect bifurcations

    Reading: Strogatz Ch.3 (3.5, 3.6), lecture notes
  • Homework Set 3
  • Suggested additional exercises for this lecture (optional):
    3.5.4, 3.5.6, 3.5.8


  • Lecture 9: 1 October
    Imperfect Bifurcations, Flows on the Circle:
    Imperfect bifurcations, cusp catastrophe, insect outbreak model; vector fields on the circle, uniform and nonuniform oscillators

    Reading: Strogatz Ch.3 and 4 (3.6, 3.7, 4.0, 4.1, 4.2, 4.3), lecture notes
  • Homework Set 4
  • Suggested additional exercises for this lecture (optional):
    3.6.3, 3.6.7, 3.7.3, 4.1.5, 4.2.1, 4.2.3