Rand, Richard H.2012-05-302012-05-302012-05https://hdl.handle.net/1813/28989A print on demand of these books and articles can be obtained from Cornell Business Services (CBS) Digital Services by sending e-mail to digital@cornell.edu or calling 607.255.2524. In the body of the message include the identifier.uri for the book or article, and ask to be contacted regarding payment.This edition of Professor Rand's Lecture Notes on Nonlinear Vibrations extends the previous version (http://ecommons.cornell.edu/handle/1813/79 ) by including two new Chapters, respectively on Differential-Delay Equations, and on Differential Equations with Fractional Derivatives, as well as an Appendix to Chapter 6 including power series expansions for transition curves in Mathieu's equation.phase planeDuffing oscillatorvan der Pol oscillatorforced Duffing Oscillatorforced van der Pol oscillatorMathieu's EquationInce's Equationtwo coupled conservative oscillatorstwo coupled limit-cycle oscillatorscenter manifoldsN coupled limit-cycle oscillatorscontinuum of coupled conservative oscillatorsMelnikov's Method for predicting chaosDifferential-Delay EquationsDifferential Equations with Fractional Derivativesbook chapter