Math 145, Winter 1999: Chaos Theory

Lecture 4M, 25 Jan 1999

• iteration of a 1D map
• invertible vs noninvertible maps in 1D
• the Koenigs-Lemeray construction
• affine examples: ax + b
• quadratic examples
  • Myrberg family: x² + c
  • Logistic family: rx(1-x²
• the fold and flip bifurcations

• Strogatz, Ch. 10
• Devaney, any book