Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 8

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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 8:

  • Lecture 14: 27 October
  • Linear Systems: Nodes:
    The eigenvalue/eigenvector method, real distinct eigenvalues
    Review of First Midterm Exam

    Reading: Strogatz Ch.5 (5.2), lecture notes
  • Homework Set 6
  • Suggested additional exercises for this lecture (optional):
    5.2.1, 5.2.2, 5.2.3


  • Lecture 15: 29 October
    Linear and Nonlinear Systems in the Plane:
    Classification of linear systems, real and complex eigenvalues, equal eigenvalues: degenerate node; the phase plane, existence-uniqueness theorem and its consequences; drawing a phase portrait, linearization, relation between linear and nonlinear systems

    Reading: Strogatz Ch.5 and 6 (5.2, 6.1, 6.2, 6.3), lecture notes
  • Homework Set 7
  • Suggested additional exercises for this lecture (optional):
    5.2.7, 5.2.9, 6.1.1, 6.1.9, 6.3.1, 6.3.9

  • Think about your projects