Simon Fraser University Department of Mathematics
Fall 2003

MATH 467-3: Dynamical Systems

Week 2

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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 2:

  • Lecture 4: 15 September
    Potentials:
    Finite-time blowup, nonexistence of oscillations, potentials; numerical integration of ODEs

    Reading: Strogatz Ch.2 (2.5, 2.6, 2.7, 2.8), lecture notes
  • Homework Set 1
  • Suggested additional exercises for this lecture (optional):
    2.6.2, 2.7.3, 2.8.4, 2.8.5, 2.8.6, 2.8.8


  • Lecture 5: 17 September
    Introduction to Bifurcation:
    Bifurcations of fixed points, saddle-node bifurcation, local analysis, normal forms, near-identity transformation; transcritical bifurcation

    Reading: Strogatz Ch.3 (3.0, 3.1, 3.2), lecture notes
  • Homework Set 2
  • Suggested additional exercises for this lecture (optional):
    3.1.1, 3.1.3, 3.1.5, 3.2.3, 3.2.7 (read this result)


  • Resources: