Math 145, Winter 1999: Chaos Theory

Lecture 2F, 15 Jan 1999: 2D flows, continued

• the static fold bifurcation in 2D flows
• the periodic fold bifurcation in 2D flows
• limit cycles in 2D flows
• characteristic multipliers (CMs)
• periodic attractors and repellors
• the Van der Pol story and dynamical scheme
  See DGB2, Strogatz p. 198
• the Hopf bifurcation
• three kinds of bifurcation (subtle, catastrophic, explosive)