Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 6

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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 10
    • Homework Set 5 due 20 October
    • Midterm Exam Monday 20 October:
      Review Session Thursday, 16 October, 4:30pm in AQ 5018
      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 6:

  • No Lecture
    Thanksgiving!
    Have a good break


  • Lecture 12: 15 October
    Analysis of One-dimensional Maps:
    Period-doubling (flip) bifurcation, computation and stability of 2-cycle, bifurcations of maps, periodic windows and intermittency, universality

    Reading: Strogatz Ch.10 (10.3, 10.4, 10.5, 10.6), lecture notes
  • Homework Set 5
  • Suggested additional exercises for this lecture (optional):
    10.3.11, 10.4.2, 10.5.3, 10.5.4, 10.6.1, 10.6.3