This directory contains a free www-book, LECTURE NOTES ON NONLINEAR VIBRATIONS by Richard H. Rand Dept.of Theoretical & Applied Mechanics Cornell University Ithaca NY 14853 rhr2@cornell.edu http://tam.cornell.edu/Rand.html Please reference these notes as follows: "Lecture Notes on Nonlinear Vibrations, version ??", R.H.Rand, 200?, available online at http://www.tam.cornell.edu/randdocs/ Features of various versions: version 34 (2000) was used as a text in TAM 675 Fall 2000. version 34a (2000) corrects a misprint in version 34. version 36 (2001) includes a new Chapter on Ince's equation. version 36a (2002) corrects errors in version 36. version 40 (2003) some errors corrected, 5 HW problems added, text for TAM 675 Spring 2003. version 41 (2003) corrects error in version 40. version 44 (2003) includes new section on homoclinic bifurcations. version 45 (2003) includes new section on Melnikov's method. version 46 (2005) includes new section on differential-delay equations. version 48 (2005) corrects error in version 46, text for TAM 675 Fall 2005. version 52 (2005) corrects various errors, includes Appendices to Chaps. 6,14. version 53 (2012) includes a new section on DEs with fractional derivatives. version 54 (2014) corrects error in eq.(680) on p.117.