18.385J | Fall 2004 | Graduate

Nonlinear Dynamics and Chaos


Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session


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.

“The” Book

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.

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!

Course Info

As Taught In
Fall 2004
Learning Resource Types
Problem Sets
Lecture Notes