Nonlinear Systems; Vol. 1, Victoriano Carmona; Jes?s Cuevas-Maraver; Fernando

Автор: Sanders J. A., Verhulst F., Murdock J.
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 0387489169 ISBN-13(EAN): 9780387489162
Издательство: Springer
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Цена: 111790.00 T
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Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews

Автор: Damgov, Vladimir
Название: Nonlinear and parametric phenomena: theory and applications in radiophysical and mechanical systems
ISBN: 9810230516 ISBN-13(EAN): 9789810230517
Издательство: World Scientific Publishing
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Цена: 183750.00 T
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Описание: A broad panorama of phenomena occuring in four major classes of radiophysical and mechanical systems - linear, nonlinear, parametric and nonlinear parametric - this text is presented in a user-friendly form, allowing its further direct application to research practices.