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 |
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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 |