G SchmidtCambridge University Press, 4/2/2009EAN 9780521113229, ISBN10: 0521113229Paperback, 424 pages, 24.4 x 17 x 2.4 cmLanguage: EnglishThis book expounds the theory of non-linear vibrations, a topic of great interest at present because of its many applications to important fields in physics and engineering. After introducing chapters giving the basic techniques for the study of non-linear systems the authors develop in detail the theory of selected topics encountered in their own work, presenting original material, approaches and results of analysis, and providing illustrations of useful applications.1. Basic properties and definitions2. Methods of solution3. Auxiliary curves for analysis of non-linear systems4. Analysis in the phase plane5. Forced, parametric and self-excited vibrations6. Vibrations of systems with many degrees of freedom7. Investigation of stability in the large8. Analysis of some excited systems9. Quenching of self-excited vibration10. Vibration systems with narrow-band random excitation11. Vibration systems with broad-band random excitation12. Systems with autoparametric couplingAppendixBibliographyIndex.