Cornell University - Spring 2017
MATH 4210 / MAE 5790 Nonlinear Dynamics and Chaos
Prof. Steven Strogatz, 533 Malott Hall, firstname.lastname@example.org
Office hours: Monday 1:00-2:30 in 533 Malott Hall
Teaching Assistant: Aurya Javeed, email@example.com
Office hours: Weds 4-6 in Rhodes 657
Text: Strogatz, Nonlinear Dynamics and Chaos, 2nd edition.
Website: Our course website will be
Please enroll yourself there. You can post questions there, and other students or the teaching staff can answer them. Homework and other information will be posted there too.
VideoNote: A previous year’s lectures have been filmed by VideoNote. You can watch them at http://www.videonote.com/cornell or on YouTube at https://www.youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V.
30% midterm (in class, March 14)
50% final exam (take home, assigned April 25, due in class May 7)
Homework: Will be assigned on most Thursdays, due the next Thursday in class. Will be checked for completeness, but not graded in detail. Solutions will be available. Late homework will not be accepted.
For tests, this course follows the usual Academic Integrity Code. You must not collaborate or copy on tests.
However, the policy for homework is unusual. You are allowed to work together, and can even copy the answers from a friend’s homework if you wish. Similarly, you are allowed to copy homework solutions from websites. (There are many solution manuals for this textbook floating around on the Internet.) Obviously copying the answers from a friend or a solution manual is a poor strategy for learning the subject, but it may be better than nothing if you are short on time. However, in all cases you must write or type the solutions yourself; photocopying or submitting an electronic copy of someone else’s work is not allowed. (The idea is that by physically writing or typing the solutions, you may learn something even if you did not solve the problem yourself.) And you must always state who your collaborators were, or cite the solution manual where you found the answers to the questions. Otherwise you are violating the Academic Integrity Code http://cuinfo.cornell.edu/Academic/AIC.html
which states that "all outside assistance should be acknowledged."
The best strategy for learning the material is to wrestle with the homework by yourself. Struggling with it will really help you learn. After you have worked on it for several hours, only then should you ask a friend for help.
1-D systems and bifurcations (2 weeks)
2-D systems: phase plane analysis, limit cycles and their bifurcations (3.5 weeks)
Lorenz equations and chaos (2.5 weeks)
1-D maps and period doubling route to chaos, renormalization (2 weeks)
Fractals and strange attractors (2 weeks)
More topics and applications if time permits
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