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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.

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
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