Math 145, Winter 1999: Chaos Theory

Lecture 2F, 15 Jan 1999: 3D flows

• where do 3D flows come from?
  • 3=1+1+1: bill smith's model for puberty
  • 3=2+1: the ring model for a forced pendulum
• rest points in 3D and their CEs
• limit cycles in 2D
• Poincare section and first return map
• fixed points of a 2D cascade
• CMs of a fixed point
• periodic points of a 2D cascade