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-Feb 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