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Hamiltonian dynamics
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Classroom Contents
Symmetry and Asymmetry in Dynamics
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- 1 Intro
- 2 What is symmetry?
- 3 What is a dynamical symmetry?
- 4 The dynamical symmetry group (f)
- 5 Symmetries map orbits to orbits
- 6 Symmetries preserve asymptotic dynamical invariants
- 7 Example: symmetries preserve Julia sets
- 8 Smooth flows and their symmetries
- 9 Theme: symmetries are special
- 10 Hamiltonian dynamics
- 11 Noether's Theorem (1915)
- 12 Smale's conjecture
- 13 Kopell's Theorem (1970)
- 14 Symmetry rigidity: project with D. Damjanović and D. Xu
