Textbook
Strogatz, S. Nonlinear Dynamics and Chaos. Reading, MA: Addison-Wesley, 1994. ISBN: 0201543443.
We will cover most of the theory here (but skip some examples).
References
Drazin, P. G. Nonlinear systems. Cambridge, UK: Cambridge University Press, 1992. ISBN: 0521404894.
Peitgen, H-O., H. Jurgens, and D. Saupe. Chaos and Fractals: New Frontiers of Science. New York, NY: Springer, 2004. ISBN: 0387202293.
Parker, T. S., and L. O. Chua. Practical Numerical Algorithms for Chaotic Systems. New York, NY: Springer-Verlag, September 1, 1989. ISBN: 0387966897.
Jordan, D. W., and P. Smith. Nonlinear Ordinary Differential Equations. New York, NY: Oxford University Press, 1999. ISBN: 0198565631.
Berge, P., Y. Pomeau, and C. Vidal. Order Within Chaos. New York, NY: Wiley 1986. ISBN: 0471849677.
"The" Book
Guckenheimer, J., and P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York, NY: Springer-Verlag, 1990. ISBN: 0387908196. For the brave souls.
Exams
Two exams will be held (midterm and on the last week of class). Each exam will be worth 40% of the grade. No final exam.
Problem Sets
There are assigned 4 problem sets worth 20% of the grade. Do them all! No way you can learn the material in this course if you do not!