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)  Oneparameter Bifurcations (continuous)  Ch. 3 
6: Feb 27, 3/1  Oneparameter Bifurcations; Normal Forms  One Parameter Bifurcations; Structural Stability; Center Manifolds (Intro)  Ch. 3 
7: Mar 6, 8  Oneparameter Bifurcations (discrete)  Discuss Projects; Center Manifolds  Ch. 45 
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. 79; 
12: Apr 10, 12  (continued)  (continued)  Ch. 79 
13: Apr 17, 19  (continued)  Project Draft Due 

14: Apr 24, 26  Applications: Deriving Models  HodgkinHuxley model  
15: May 1, 3  Nonlinear Oscillators  See Nonlinear Vibrations notes by Rand  
16: May 8  Project Presentations & Writeup Due  Dead Day 