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Strogatz, S. Nonlinear Dynamics and Chaos. Reading, MA: Addison-Wesley, 1994. ISBN: 9780201543445.
We will cover most of the theory here (but skip some examples).
Drazin, P. G. Nonlinear systems. Cambridge, UK: Cambridge University Press, 1992. ISBN: 9780521404891.
Peitgen, H-O., H. Jurgens, and D. Saupe. Chaos and Fractals: New Frontiers of Science. New York, NY: Springer, 2004. ISBN: 9780387202297.
Parker, T. S., and L. O. Chua. Practical Numerical Algorithms for Chaotic Systems. New York, NY: Springer-Verlag, December 20, 1991. ISBN: 9780387966892.
Jordan, D. W., and P. Smith. Nonlinear Ordinary Differential Equations. New York, NY: Oxford University Press, 1999. ISBN: 9780198565635.
Berge, P., Y. Pomeau, and C. Vidal. Order Within Chaos. New York, NY: Wiley 1987. ISBN: 9780471849674.
Guckenheimer, J., and P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York, NY: Springer-Verlag, 2002. ISBN: 9780387908199. For the brave souls.
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.
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!