Week 6

TEXT   Week 6 overview

  • 11. Slice and dice / 10 February 2015 /
  • Symmetry reduction is the identification of a unique point on a group orbit as the representative of this equivalence class. Thus, if the symmetry is continuous, the interesting dynamics unfolds on a lower-dimensional `quotiented', or `reduced' state space M/G. In the method of slices the symmetry reduction is achieved by cutting the group orbits with a set of hyperplanes, one for each continuous group parameter. Moving frames give us a great deal of freedom - we discuss how to choose a frame The most natural of all moving frames: the comoving frame, the frame for space cowboys.

    Reading: _________   Chapter ________
    Chapter ______ Overheads   Chapter ___ Overheads - PLACE HOLDER
    Video lecture: Invariants   PLACE HOLDER
    Video lecture: PLACE HOLDER   PLACE HOLDER

  • 11. Qualitative dynamics for pedestrians / 12 February 2015 /
  • Qualitative properties of a flow partition the state space in a topologically invariant way.

    Reading: Chapter ___   Chapter _______
    Overheads: Chapter _____   Overheads - PLACE HOLDER
    Video lecture: PLACE HOLDER   PLACE HOLDER
    Video lecture: PLACE HOLDER   PLACE HOLDER

  • Homework 6
  • Homework   PLACE HOLDER
     Due 24 February 2015
    Homework   Discussion forum for week 6