Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 7

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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:

    • Lecture notes for Chapter 5
    • Homework Set 6 due 29 October
    • Midterm Exam Monday 20 October:
      Covering the material from Chapters 2, 3, 4 and 10.1-3
      You may bring a page of handwritten notes; please, no graphical calculators


Week 7:

  • Midterm Exam
    One-dimensional Flows and Maps, and their Bifurcations
    Good luck!


  • Lecture 13: 22 October
    Two-dimensional Flows:
    The phase plane, direction fields, trajectories; linear systems, harmonic oscillator, stability
    Discussion of end-of-semester project

    Reading: Strogatz Ch.5 (5.1, 5.2), lecture notes
  • Homework Set 6
  • Suggested additional exercises for this lecture (optional):
    5.1.1, 5.1.12, 5.1.13