MM#1: Lecture #3, 7:30pm, Monday 01 May 2000
Attractors, bifurcations, arms races
- Review of concepts of chaos theory
- SX: Stairway to Xaos
- KL: Koenigs-Lemeray construction (vertigo-horrid)
- FP: Fixed Points
- PP: Periodic Points
- New concepts of chaos theory
- Attracting versus repelling FPs
- Attracting versus repelling PPs
- Attractors and their basins
- Attractor-basin portraits
- Families of maps
- Response diagrams (logistic, cubic)
- Chaotic attractors
- Application #1: arms race models
- Bio of Lewis Frye Richardson
- Arms race model of Isnard and Zeeman
Revised Tue 02 May 2000 by Ralph Abraham
|