Assignment | Description | Problems | Due Date |
---|---|---|---|
1 | Taylor series and Matlab | Problems, Solutions: page1, page2 | Tue, Sep 3 | 2 | Phase Line | 2.2.1, 2.2.4, 2.2.5, 2.2.8, 2.3.2 | Tue, Sep 10 | 3 | Phase Line with Linear Stability | 2.4.4, 2.4.5, 2.4.6, 2.4.7 | Tue, Sep 17 |
Exam 1 | Solutions | Tue, Sep 24 | |
4 | Bifurcations in Scaler Systems, | 3.1.3, 3.3.2, 3.4.4, 3.7.4
(pssst....) 3.3.2 long solution |
Tue, Oct 1 |
5 | General 2-D systems | Problems, Solutions | Tue, Oct 8 |
6 | Linear 2D systems | 5.2.1, 5.2.2, 5.2.3, 5.2.4,5.2.5, 5.2.7, 5.2.8, (pssst....) | Thu, Oct 17 |
7 | Phase Plane | Problems & Solutions | Thu, Oct 24 |
Exam 2 | Solutions | Tue, Oct 29 | |
8 | Limit Cycles |
7.1.2, 7.1.3, 7.3.1, 7.3.2 , | Tue, Nov 5. |
9 | Bifurcations in Planer Systems | 8.1.6, 8.1.10, one other | Tue, Nov 12 |
10 | Hopf Bifurcations | Problems | Tue, Nov 19 |
12 | Maps and bifurcations | Problems, Cobweb templates, Solutions | Thu, Dec 5 |
Exam 3 | Solutions | TBD |
Save these files to your MATLAB working directory, start up MATLAB, and type "dfield*" at the MATLAB prompt. dfield* and pplane* are very easy to use - just play and experiment. I give some brief comments regarding their capabilities below.
dfield*