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Normal Modes and Localization in Nonlinear Systems
ISBN-13:
9783527617876
Veröffentl:
2008
Einband:
E-Book
Seiten:
552
Autor:
Alexander F. Vakakis
Serie:
Wiley Series in Nonlinear Science
eBook Typ:
PDF
eBook Format:
Reflowable E-Book
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
NNMs in Discrete Oscillators: Qualitative Results.NNMs in Discrete Oscillators: Quantitative Results.Stability and Bifurcations of NNMs.Resonances of Discrete Systems Close to NNMs.The Method of Nonsmooth Temporal Transformations (NSTTs).Nonlinear Localization in Discrete Systems.NNMs in Continuous Systems.Nonlinear Localization in Systems of Coupled Beams.Nonlinear Localization in Other Continuous Systems.References.Index.