Reading List

Students are by no means expected to read all these sources. These are suggestions intended to be helpful.The primary suggested reference is the book by Lawrence Perko.

1. L. Perko, Differential Equations and Dynamical Systems (Second edition, Springer, 1996).
2. Y. A. Kuznetsov, Elements of Applied Bifurcation Theory (Second edition, Springer, 1998).
3. S. H. Strogatz, Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry and Engineering (Westview Press, 2000).
4. R. H. Rand, Lecture Notes on Nonlinear Vibrations [Available for free online at http://audiophile.tam.cornell.edu/randdocs/nlvibe52.pdf
5. P. G. Drazin, Nonlinear Systems (Cambridge University Press, Cambridge, 1992).
6. Guckenheimer and Holmes, Nonlinear Oscillations, Dynamical Systems (Springer, 1983).