Vakakis, Alexander F.; Manevitch, Leonid I.; Mikhlin, Yuri V.; Pilipchuk, Valery N.; Zevin, Alexandr A. Normal modes and localization in nonlinear systems. (English) Zbl 0917.93001 Chichester: John Wiley & Sons. 568 p. (1996). Publisher’s description: This book is devoted to the study of vibrations of discrete and continuous nonlinear oscillators. Its unique approach is based on the concept of nonlinear normal mode (NNM). This concept provides an excellent framework for understanding and analyzing free and forced oscillations of mechanical systems, predicting bifurcations of solutions, and understanding a variety of essentially nonlinear phenomena, such as nonlinear localization and motion confinement in systems with symmetries. Cited in 85 Documents MSC: 70-02 Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems 70K25 Free motions for nonlinear problems in mechanics 70K40 Forced motions for nonlinear problems in mechanics 70J10 Modal analysis in linear vibration theory 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34C23 Bifurcation theory for ordinary differential equations Keywords:vibrations; oscillators; nonlinear normal mode; nonlinear localization; motion confinement; symmetries PDF BibTeX XML Cite \textit{A. F. Vakakis} et al., Normal modes and localization in nonlinear systems. Chichester: John Wiley \& Sons (1996; Zbl 0917.93001)