Tentative weekly course calendar for Phys471D (3 lectures per week)

Week Date Topics covered
1
Feb 19
Introduction: nonlinear dynamics, complex systems
2
Feb 22-26
1-dimensional flows: stability analysis, steady state classification; elementary bifurcations: saddle-node, pitchfork
3
Feb 29 - Mar 4
2-dimensional flows: linear systems, phase space analysis, limit cycle
HW#1 due monday
4
March  7-11
maps: stability, periodic orbits, logistic map: bifurcation diagram, periodic windows, crisis; Lyaunov exponent
HW#2 due monday


spring break
5
March 21-25
Fractals and their quantification, dimension algorithms; Lorenz system, strange attractor
HW#3 due monday
6
March 28-30
synchronization,
HW#4 due monday
Final Exam: Wednesday in class, March 30