Tentative weekly course calendar for Phys471D (3 lectures per week)
| Week | Date | Topics covered |
|
1
|
Jan 17-19 |
Introduction: nonlinear dynamics, complex systems;
1-dimensional flows and stability |
|
2
|
Jan 22-26 |
elementary bifurcations: saddle-node, pitchfork;
2-dimensional flows: linear systems HW#1 due wednesday |
| 3 |
Jan 29-2 |
2-dimensional flows: phase space
analysis, limit cycle; synchronization HW#2 due wednesday |
|
4
|
Feb 5-9 |
maps: stability, periodic orbits, logistic map:
bifurcation diagram, periodic windows, crisis; Lyaunov
exponent HW#3 due wednesday |
|
5
|
Feb 12-16 |
Fractals and their quantification,
dimension algorithms; Lorenz system, strange attractor HW#4 due wednesday Final Exam: Friday in class, Feb 16 |