Date |
Sections |
Homework |
Other readings/software |
8/29(R) |
1.0-1.3,
2.0-2.3 |
|
Wolfram Alpha Dynamical systems List of dynamical systems topics Lorenz Equation |
9/3(T) |
2.4-2.5 |
Homework 1: 2.1.1, 2.1.2,
2.1.3, 2.2.3, 2.2.9, 2.3.4, 2.4.4, (due 9/6 F) |
Noy-Meir Jour
Ecology 1975 Solow Quart Jour Econ 1956 |
9/5(R) |
2.6-2.8 |
|
Matlab programs: graph1 graph2 dfield8 pplane8 logistic ode logistic ode (multi) |
9/10(T) |
existence and uniqueness | Homework 2: pdf file (due 9/13
F) solution |
metric
space contraction mapping theorem existence and uniqueness proof |
9/12(R) |
3.0-3.1 |
|
Bifurcation
Buckling Swat Bioinformatics 2004 Scheffer Nature 2001 |
9/17(T) |
3.1 | Homework 3: pdf file (due 9/20
F) solution |
Jordan-Cooley
Jour
Theo Biol 2011 |
9/19(R) |
3.2-3.3 |
|
Matlab programs: bifurcation 1, bifurcation 3 bifurcation diagram from Matlab |
9/24(T) |
nondimensionalization 3.4 |
Homework 4: pdf file (due 9/27 F) solution |
Ludwig
Jour
Anim Ecol 1978 Bead on a Rotating Wire |
9/26(R) |
3.5-3.7 |
|
Catastrophe
theory cusp bifurcation differential equation on youtube |
10/1(T) |
5.0-5.3 project guide |
Homework 5: 3.6.2(a,b), 5.2.1,
5.2.2, 5.3.4, 5.3.6 (due 10/4 F) solution |
pplane
(online) planar linear equation notes (from Math 302) |
10/3(R) |
6.0-6.4 |
|
|
10/8(T) |
6.5-6.7 |
Homework 6: 6.1.4, 6.1.10(use
pplane), 6.3.6, 6.3.8, 6.3.10 (due 10/11 F) solution |
planar
nonlinear system notes (from Math 302) |
10/10(R) |
n-body problem |
|
|
10/15(T) |
Fall Break |
no class |