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Syllabus

 
Lectures

Two sessions / week
1.5 hours / session  

Textbook

Strogatz, S. Nonlinear Dynamics and Chaos. Addison-Wesley.
We will cover most of the theory here (but skip some examples). 

References

Drazin, P. G. Nonlinear Systems. Cambridge U.P.

Peitgen, H-O., Jurgens, H. and Saupe, D. Chaos and Fractals. New Frontiers of Science. Springer-Verlag.

Parker, T. S., and Chua, L. O. Practical Numerical Algorithms for Chaotic Systems. Springer-Verlag.

Jordan, D. W., and Smith, P. Nonlinear Ordinary Differential Equations. Oxford U.P.

Berge, P., Pomeau, Y. and Vidal, C. Order within Chaos. Wiley.  

"The" Book

Guckenheimer, and Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer-Verlag. 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

About 8 Problem Sets (one every 1.5 weeks, more or less). Worth 20% of the grade. Do them all! No way you can learn the material in this course if you do not!