IAM 950 Spatiotemporal and Turbulent Dynamics
Lecture: Demeritt 253 MW 2:10-3:30pm
Instructor: John F. Gibson. Office hours MW 4-5pm, N309E Kingsbury Hall
Relevant texts:
Turbulence, Coherent Structures, Dynamical Systems, and Symmetry, 2nd ed. Holmes, Lumley, Berkooz, and Rowley. Cambridge University Press, 2012.
Pattern Formation and Dynamics in Nonequilibrium Systems, Cross and Greenside. Cambridge University Press, 2009.
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Guckenheimer and Holmes, Springer-Verlag Applied Mathematical Sciences vol 42. 1983.
The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors, Sparrow, Springer-Verlag, 1982
Spectral Methods in Matlab, Trefethen, SIAM Press 2000
Homework
Homeworks are distributed as Julia notebooks. How to do homework as a Julia notebook. I've provided a PDF file of each homework so that you can preview the assignment easily on the web.
| Julia notebook | PDF | due | topic | notes |
HW1 | HW1.ipnyb | HW1.pdf | 2/29/2016 | numerical simulation of nonlinear PDEs | |
HW2 | | HW2 | 04/18 | periodic orbits of Lorenz ODE | |