Courses:

Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare offers direct links to Amazon.com to purchase the books cited in this course. Click on the Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT to continue offering open access to MIT courses.

The subject will be based on the material presented in the lectures. There is no required textbook. A general list of references is provided here.

Minorsky, Nicholas. Nonlinear Oscillations. Melbourne, FL: Krieger Publishing, 1974. ISBN: 9780882751863.

Nayfeh, Ali Hasan, and Dean T. Mook. Nonlinear Oscillations. New York, NY: John Wiley & Sons, 1995. ISBN: 9780471121428.

Stoker, J. J. Nonlinear Vibrations in Mechanical and Electrical Systems. New York, NY: John Wiley & Sons, 1992. ISBN: 9780471570332.

Den Hartog, J. P. Mechanical Vibrations. Mineola, NY: Dover Publications, 1985. ISBN: 9780486647852.

Andronov, A. A., A. A. Vitt, and S. E. Khaikin. Theory of Oscillators. Mineola, NY: Dover Publications, 1987. ISBN: 9780486655086.

Hayashi, Chihiro. Nonlinear Oscillations in Physical Systems. Princeton, NJ: Princeton University Press, 1986. ISBN: 9780691083834.

Pippard, A. B. Response and Stability: An Introduction to the Physical Theory. Cambridge, UK: Cambridge University Press, 1985. ISBN: 9780521319942.

Strogatz, Steven H. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering. New York, NY: Perseus Books, 2001. ISBN: 9780738204536.

Iooss, Gerard, and Daniel D. Joseph. Elementary Stability and Bifurcation Theory. New York, NY: Springer, 2004. ISBN: 9780387970684.

Whitham, G. B. Linear and Nonlinear Waves. New York, NY: John Wiley & Sons, 2006. ISBN: 9780471359425.

Craik, Alex D. D. Wave Interactions and Fluid Flows. Cambridge, UK: Cambridge University Press, 1999. ISBN: 9780521368292.

Drazin, P. G. Nonlinear Systems. Cambridge, UK: Cambridge University Press, 1992. ISBN: 9780521404891.

Newell, Alan C. Solitons in Mathematics and Physics. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1987. ISBN: 9780898711967.

Dauxois, Thierry, and Michel Peyrard. Physics of Solitons. Cambridge, UK: Cambridge University Press, 2006. ISBN: 9780521854214.