Research Publications

APMA 1360

Spring 2015

Instructor:               John Gemmer

Office Hours:       Tuesday 1:00-3:00, Thursday 1-3:00                                   
Lecture:                 MWF: 1:00-1:50, Barus and Holley 161

Textbooks: Nonlinear Dynamics and Chaos 2nd Ed., S. H. Strogatz, 2014

Course Handouts and Useful Websites:
1. Syllabus: (.pdf)
2. Homework Policy (.pdf)
3. Latex Templates
4. Project Rubric

Lecture Notes:
1. Notes 1: (.pdf)
2. Notes 2: (.pdf)
3. Notes 3: (.pdf)
4. Notes 4: (.pdf)
5. Notes 5: (.pdf)
6. Notes 6: (.pdf)
7. Notes 7: (.pdf)
8. Notes 8: (.pdf)
9. Notes 9: (.pdf)
10. Notes 10: (.pdf)
11. Notes 11: (.pdf)
12. Notes 12: (.pdf)

Mathematica Notebooks:
1. Fish in a pond example
2. Lotka Volterra
3. Van der Pol Oscillator
4. Limit Cycle Example
5. Lorenz Equations.

Homework Assignments:
1. Homework #1: (2.1.1, 2.1.2, 2.1.3, 2.2.7, 2.2.8, 2.2.9, 2.2.10, 2.3.5, 2.3.6, 2.7.6) (solutions.pdf)
2. Homework #2: (3.1.3, 3.2.3, 3.3.2, 3.4.3, 3.4.5, 3.4.7, 3.4.9, 3.4.16) (solutions.pdf)
3. Homework #3: (3.4.12, 3.5.8, 3.7.5, 4.3.6, 4.4.1, 4.5.3) (solutions.pdf)
4. Homework #4: (5.1.10, 5.2.4, 5.2.6, 5.2.8, 5.2.10) (solutions.pdf)
5. Homework #5: (6.1.4, 6.1.12, 6.1.13, 6.3.9(a-c), 6.3.10(a-c), 6.3.11, 6.3.13, 6.3.16) (solutions.pdf)
6. Homework #6: (6.5.2, 6.5.6, 6.5.12, 6.8.3, 6.8.6, 6.8.9, 7.1.2, 7.1.3, 7.2.9, 7.2.12) (solutions.pdf)
7. Homework #7: (7.2.14, 7.3.1, 7.3.3, 7.3.4, 7.3.5, 7.3.7, 7.3.11, 7.4.1) (solutions.pdf)
8. Homework #8: (8.1.5, 8.1.6, 8.1.7, 8.1.11, 8.2.1, 8.2.8, 8.4.2, 8.5.3) (solutions.pdf)
9. Homework #9: (8.4.2, 8.6.4, 8.7.2, 9.2.2, 9.2.4, 9.3.8, 9.4.2)
10. Homework #10: (10.1.10, 10.3.3, 10.3.4, 10.5.1, 11.3.7, 11.3.8, 11.4.1, 11.4.2)

Potential Projects:
1. Why are more people right handed? (Taken)
2. Chaos and Scheduling Buses.
3. Synchronization and the Millenial Bridge. (Taken)
4. Cats, rats, and seabirds. (Taken)
5. Water mites and mosquitoes.
6. Coexistence and chaos in complex ecologies. (Taken)
7. Tuberculosis in badgers and cows.
8. Modeling the decline of religous affliation.
9. Modeling language death. (Taken)
10. Ultimate fate of constrained voters.
11. Rock, paper, scissors and the evolution of lizards.
12. Modeling the love story in "Gone with the Wind" (Taken)
13. Dynamical Characteristics Common to Neuronal Competition Models. (Taken)
14. The power of true believers. (Taken)
15. Sychrony in frogs.
16. Predator prey food chains with adaptation. (Taken)