| Week | Monday | Wednesday | Notes |
|---|---|---|---|
| 1: Jan 23, 25 | Introduction & overview | Linear ODEs & Review | |
| 2: 1/30, 2/1 | Basic Definitions and Examples | (continued) | Ch. 1 |
| 3: Feb 6, 8 | Smale Horseshoe and Shift Maps | ODEs and Poincare Maps | Ch. 1 |
| 4: Feb 13, 15 | Topological Equivalence of Systems | Generic types of equilibria; Bifurcations | Ch. 2 |
| 5: Feb 20, 22 | NO CLASS (Presidents Day) | One-parameter Bifurcations (continuous) | Ch. 3 |
| 6: Feb 27, 3/1 | One-parameter Bifurcations; Normal Forms | One Parameter Bifurcations; Structural Stability; Center Manifolds (Intro) | Ch. 3 |
| 7: Mar 6, 8 | One-parameter Bifurcations (discrete) | Discuss Projects; Center Manifolds | Ch. 4-5 |
| 8: Mar 13, 15 | Center Manifolds | Discuss Projects | Ch. 5; |
| 9: Mar 20, 22 | NO CLASS | NO CLASS | Spring Break |
| 10: Mar 27, 29 | Center Manifolds: Local Approximation | (continued) | Ch. 6; First Project Proposal Due |
| 11: Apr 3, 5 | Other Bifurcations | (continued) | Ch. 7-9; |
| 12: Apr 10, 12 | (continued) | (continued) | Ch. 7-9 |
| 13: Apr 17, 19 | (continued) | Project Draft Due |
|
| 14: Apr 24, 26 | Applications: Deriving Models | Hodgkin-Huxley model | |
| 15: May 1, 3 | Nonlinear Oscillators | See Nonlinear Vibrations notes by Rand | |
| 16: May 8 | Project Presentations & Write-up Due | Dead Day |
