Office Hours:
Tuesday 9:00-11:00, Thursday 9:00-11:00
Lecture:
MWF: 1:00-1:50, Barus and Holley 165
Textbooks: Nonlinear Dynamics and Chaos, S. H. Strogatz, 1994
Course Handouts and Useful
Websites:
1. Syllabus: (.pdf)
2. Homework Policy (.pdf)
3. Latex Templates
4. Project Rubric
5. Class Work #2 Solution (.pdf)
6. Notes 1: (.pdf)
7. Notes 2: (.pdf)
8. Notes 3: (.pdf)
9. Notes 4: (.pdf)
10. Notes 5: (.pdf)
11. Notes 6: (.pdf)
12. Notes 7: (.pdf)
13. Notes 8: (.pdf)
14. Notes 9: (.pdf)
15. Notes 10: (.pdf)
16. Notes 11: (.pdf)
17. Notes 12: (.pdf)
Mathematica Notebooks:
1. Lotka Volterra
2. Van der Pol Oscillator
3. Limit Cycle Example
4. 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, 2.3.2, 2.7.6) (solutions.pdf)
2. Homework #2: (3.1.4, 3.2.4, 3.3.2, 3.4.4, 3.4.6, 3.4.8, 3.4.10, 3.4.14)
(solutions.pdf)
3. Homework #3: (3.5.7, 3.6.3, 3.6.7, 3.7.6, 4.3.8, 4.4.1, 4.5.1) (solutions.pdf)
4. Homework #4: No assigned homework. Study
5. Homework #5: (5.2.1, 5.2.13, 5.3.3, 5.3.4, 5.3.5, 5.3.6, 6.1.12, 6.2.2) (solutions.pdf)
6. Homework #6: (6.1.13, 6.3.9, 6.3.12, 6.3.14, 6.5.2, 6.5.7, 6.5.19, 6.8.6, 6.8.13) (solutions.pdf)
7. Homework #7: (7.1.4, 7.2.9, 7.2.10, 7.3.1, 7.3.3, 7.3.4, 7.4.2, 7.5.5) (solutions.pdf)
8. Homework #8: (8.1.5, 8.1.7, 8.1.11, 8.2.1, 8.2.8, 8.4.2, 8.5.3) (solutions.pdf)
9. Homework #9: (9.2.1, 9.2.4, 9.3.8, 9.4.2) (solutions.pdf)
10. Homework #10: (10.3.3, 10.3.4, 10.3.7, 10.5.1, 11.4.1, 11.4.2) (solutions.pdf)
Potential Projects:
1. Why are more people right handed? (Taken)
2. Chaos and Scheduling Buses. (Taken)
3. Synchronization and the Millenial Bridge.
4. Cats, rats, and seabirds. (Taken)
5. Water mites and mosquitoes.
6. Coexistence and chaos in complex ecologies.
7. Tuberculosis in badgers and cows.
8. Modeling the decline of religous affliation. (Taken)
9. Particle interactions and pattern formation. (Taken)
10. Swarming and flocking behavior.
11.
Rolling swarms of locusts. (Taken)
12. Rise and fall of political parties. (Taken)
13. Warfare. (Taken)
14. Synrhonization of cows. (Taken)