Instructor: John Gemmer
Office: Manchester #360
Phone: 336-758-5386
E-mail: gemmerj@wfu.edu Office Hours: Tuesday 3-5, Wednesday 1-2, Thursday 2-4
Lecture: MWF: 9:00-9:50, Manchester 124
Textbooks: Nonlinear Dynamics and Chaos 2nd Edition, S.H. Strogatz, 2014.
Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy (.pdf)
3. Chapter 2 Notes (.pdf)
4. Chapter 3 Notes (.pdf)
5. Chapter 4 Notes (.pdf)
6. Chapter 5 Notes (.pdf)
7. Chapter 6 Notes (.pdf)
8. Sarah Raynor Notes (.pdf)
9. Chapter 7 Notes (.pdf)
8. Chapter 8 Notes (.pdf)
Quiz Solutions:
1. Quiz 1(.pdf)
2. Quiz 2(.pdf)
3. Quiz 3(.pdf)
Useful
Websites:
1. Simulation of pendulum (link)
Mathematica Notebooks: (You might need to right click on the link to download the file)
1. Lotka Volterra: (.nb)
2. Omnivore-Prey (.nb)
3. Herbavore-Herbavore (.nb)
4. Conservative Systems (.nb)
5. Glider (.nb)
6. Rock Paper Scissors (.nb)
7. Lorenz (.nb)
Exam Solutions:
Homework Assignments:
1. Homework #1 (Due 1/20/17): #2.1.1-2.1.3, 2.2.7, 2.2.9-2.2.10, 2.2.13(a-c), 2.3.2, 2.3.5, 2.3.6. (solutions.pdf)
2. Homework #2 (Due 1/27/17): #3.1.3, 3.2.3, 3.3.1, 3.3.2, 3.4.5, 3.4.7, 3.4.9, 3.4.16. (solutions.pdf)
3. Homework #3 (Due 2/3/17): #3.4.12, 3.5.7, 3.7.5, 3.7.6, 4.3.6, 4.4.1. (solutions.pdf)
4. Homework #4 (Due 2/17/17): #5.1.10, 5.2.1, 5.2.4, 5.2.6, 5.2.8, 5.2.10, 5.2.13, 5.3.3, 5.3.4, 5.3.5, 5.3.6, 6.1.12, 6.2.2. (solutions.pdf)
5. Homework #5 (Due 2/24/17): #6.1.4, 6.3.4, 6.3.7, 6.3.9, 6.3.10, 6.3.11, 6.3.13, 6.4.9, 6.4.11 (solutions.pdf)
6. Homework #6 (Due 3/3/17): #6.5.1, 6.5.2, 6.5.12, 6.5.14, 6.5.20, 6.8.7, 6.8.9, 6.8.13, 7.2.8, 7.2.10, 7.2.12 (solutions.pdf)
7. Homework #7 (Due 3/17/17): #7.2.14, 7.3.1, 7.3.4, 7.3.6, 7.3.11, 7.3.12. (solutions.pdf)
8. Homework #8 (Due 3/24/17): #8.1.5, 8.1.6, 8.1.11, 8.1.13, 8.1.14, 8.6.1, 8.6.3, 8.6.4, 8.6.9. (solutions.pdf)
9. Homework #9 (Due 3/29/17): #8.2.2, 8.2.3, 8.2.6, 8.2.10, 8.3.1.
10. Homework #10 (Due 4/13/17): #9.2.3, 9.2.4, 9.3.8, #9.3.2, 9.3.3, 9.3.4, 9.3.5, 9.3.6, 9.3.7, 9.3.8, 9.5.1, 9.5.2, 9.5.3, 9.5.4, 9.5.5, 9.5.6.
Potential Projects:
1. Why are more people right handed?
2. Chaos and Scheduling Buses.
3. Synchronization and the Millenial Bridge.
4. Cats, rats, and seabirds.
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.
9. Modeling language death.
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"
13. Dynamical Characteristics Common to Neuronal Competition Models.
14. The power of true believers.
15. Sychrony in frogs.
16. Predator prey food chains with adaptation.
17. Particle interactions and pattern formation.
18. Swarming and flocking behavior.
19.
Rolling swarms of locusts.
20. Rise and fall of political parties.
21. Warfare.
22. Synrhonization of cows.
23. Modeling insect outbreaks.
24. Sychrony in fireflys.
25. Modeling cell division.
26. Oscillations in chemcial reactions
27. Modeling a fish hatchery with periodic harvesting
28. Modeling the loss of arctic sea ice.