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==Part 0. Introduction==

Wed 01/25 intro, pictures, taxonomy, themes, goals, questions

Mon 01/30 linear stability, S-H, types I,II,III, super and subcritical\\
Wed 02/01 numerical simulation methods



==Part I. Weakly nonlinear patterns==

Mon 02/06 nonlinear saturation and mode reduction/slaving\\
Wed 02/08 amplitude eqns (1d) for type I instab (S-H)

Mon 02/13 applications of amplitude eqns: long-wavelength and secondary instabilities, fronts/ramps\\
Wed 02/15 


Mon 02/20 Kuramoto-Sivashinsky dynamics\\
Wed 02/22 



==Part II. Strongly nonlinear patterns==

Mon 02/27 linear WKB theory (oscillators and waves)\\
Wed 02/29 weakly nonlinear WKB theory (dispersive waves)

Mon 03/05 strongly nonlinear WKB theory:  complex S-H eqn\\
Wed 03/07 phase-diffusion theory

Spring Break: Mon 03/12--Fri 03/16

Mon 03/19  amplitude eqns for type II systems with long-wavelength neutral modes \\
Wed 03/21  mean-drift and goldstone modes



==Part III. Spatio-temporal patterns in shear flows==

Mon 03/19  intro: pipe, plane couette, boundary-layer\\
Wed 03/21  symmetries, subcricitality, linear stability of laminar flow

Mon 03/26  self-sustaining processes\\
Wed 03/28  far-from laminar equilibria & traveling waves

Mon 04/02  periodic orbits\\
Wed 04/04  spatially localized solutions


==Part IV.  Periodic orbit theory==

Mon 04/09  motivation, outline\\
Wed 04/11  perron-frobenius

Mon 04/16  cycle expansion\\
Wed 04/18  

Mon 04/23\\
Wed 04/25


Mon 04/30  Homogenization of the K-S eqn\\
Wed 05/02

Mon 05/07

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