Math 441 Schedule
Date |
Sections |
Lecture |
Homework |
Other
readings |
Software |
9/1(R) |
1.0-1.3 |
HW1 pdf (due Sept 9) |
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9/6(T) |
2.0-2.4 |
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9/8(R) |
2.5-2.8 |
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Matlab
programs: graph2 graph3 |
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9/13(T) |
3.0-3.2 |
HW2
pdf (due
Sept 17) |
Bifurcation
Buckling |
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|
9/15(R) |
3.2 |
|
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9/20(T) |
3.3-3.4 |
HW3
pdf (due
Sept 27) |
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9/22(R) |
3.5-3.7 |
|
Matlab
programs: bifurcation 1, bifurcation 3 |
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9/27(T) |
3.6, 5.0-5.2 |
HW4 pdf (due Oct 4) |
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9/29(R) |
5.3,
6.0-6.3 |
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10/4(T) |
6.4 |
HW5
pdf (due
Oct 10) |
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10/6(R) |
6.5-6.6 |
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10/11(T) |
6.6-6.7 |
HW6 pdf (due Oct 24) |
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10/13(R) |
Fall Break |
No class |
|
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|
Date |
Sections |
Lecture |
Homework |
Other
readings |
software |
10/18(T) |
6.7-6.8 |
Lecture 12 |
|
|
|
10/20(R) |
7.1-7.2 |
a video
of oscillatory chemical reaction |
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10/25(T) |
7.2-7.3 |
HW7 pdf (due Nov 1) |
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10/27(R) |
7.3-7.6 |
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11/1 (T) |
8.1 |
HW8 pdf (due Nov 8) |
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11/3 (R) |
8.2 |
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11/8(T) |
8.3
|
HW9 pdf (due Nov 15) |
Lengyel-Epstein, Science 1991 |
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11/10(R) |
4.1-4.3, 8.4, 8.6 |
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11/15(T) |
9.0-9.4 |
HW10 pdf (due Nov 29) |
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11/17(R) |
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11/22(T) |
9.0-9.4 |
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11/24(R) |
Thanks giving |
No
class |
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11/29 (T) |
10.0-10.3 |
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HW11 pdf (due Dec 6) |
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12/1(R) |
10.0-10.3 |
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12/6(T) |
10.4-10.6 |
List of chaotic maps,
chaos Sharkovskii’s
theorem |
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12/8(R) |
11.0-11.3 |
Fractal
self-similar
list
of fractal |
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12/12(M) |
2-5pm |
presentation |
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|
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Oscillatory
Chemical reaction: Oregonator,
Brusselator, Belousov-Zhabotinsky
reaction
Possible
topics of project:
Physics:
1. Van der Pol
oscillator (Eric)
2.
Duffing
Oscillator (Nick)
3.
3 body
problem (John)
4.
Double
pendulum (Patrick)
Economics:
5. Kaldor's
business cycle model
6. Hopf bifurcation in an advertising
diffusion model
Biology:
7. Bifurcation
analysis in a bioinformatics model
8. Bistability
in coral reef model (Yi-Cheng)
9.
Backward
bifurcations in simple vaccination models
10. Harvesting in a Lotka-Volterra
competition model (Jarred)
11. Forest-savanna
dynamics (Gwendolyn)
12. Destabilizing effect of cannibalism on a
structured predator-prey system (Sam)
Chemistry
13. Autocatalytic chemical reaction: Hopf bifurcation
and multistability
14. Smallest chemical
reaction system with Hopf bifurcation
15. Smallest chemical
reaction system with bistability
16. Oregonator
(Katherine)
Other
17. Modeling
the love story in “Gone with the wind” (see also problem 7.2.19)
18. Threshold Linear Network Models of Neural
Networks (Luke)