PHY 411: Classical Mechanics & Chaotic Dynamics
Instructor: Alice Quillen, Bausch and Lomb Hall 424, Phone:275-9625, Email:aquillen at pas.rochester.edu
TR 11:05-12:20 in B+L315.
Note: First lecture (Tuesday Sept 1 at 11:05am in B+L315)
we will have an organizational meeting during
which time we can discuss moving the class time.
Topics covered will include:
Lagrangian and Hamiltonian dynamics, canonical transformations, Hamilton-Jacobi equations, chaotic dynamics, periodic orbits, stable and unstable orbits, resonances in celestial mechanics, resonance capture, resonance overlap criterion, bifurcations, Julia and Fatou sets, convergence of Newton's Iteration, KAM theory.
We will explore these topics both analytically and numerically (in python).
A good knowledge of classical mechanics. PHY235 is more than enough.
Undergraduates are very welcome to join this class (including for the entire class
not just the first 8 weeks).
Grading: problem sets 60%, projects 40%
- About 6 problem sets
- 1 project
Mathematical Methods of Classical Mechanics , by V. I. Arnold
QA805 .A6813 1989
Nonlinear Dynamics and Chaos, with applications to physics, biology, chemistry, and engineering
by Steven H. Strogatz Q172.5.C45 S767 1994
A first course in Discrete Dynamical Systems
by Richard A. Holmgren QA614.8 .H65 1994
- The Chaos Book