Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 1

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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

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Week 1:

  • Lecture 2: 8 September
    Introduction:
    Linear and nonlinear systems; autonomous systems; review of 1st-order ODEs and linear systems; introduction to chaos

    Reading: Strogatz Ch.1, lecture notes
  • Homework Set 0 (optional)

  • Lecture 3: 10 September
    Flows on the Line:
    Direction field, phase line, fixed points, stability, linear stability analysis; population growth; existence and uniqueness

    Reading: Strogatz Ch.2 (2.0, 2.1, 2.2, 2.3, 2.4, 2.5), lecture notes
  • Homework Set 1
  • Suggested additional exercises for this lecture (optional):
    2.2.1, 2.2.6, 2.2.9, 2.3.1, 2.4.1, 2.5.3, 2.5.5