Description

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.

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

LangueenVersionBrochéDate de sortie initiale24 novembre 2010Nombre de pages460IllustrationsNon

Personnes impliquées

Auteur principal

Jan A. Sanders

Deuxième auteur

Ferdinand Verhulst

Coauteur

James Murdock

Editeur principal

Springer

Informations sur le fabricant

Nom du fabricantSpringer Nature Customer Service Center GmbHAdresse du fabricantEuropaplatz 3 | 69115| Heidelberg| DEAdresse électronique du fabricant[email protected]Informations sur le fabricantLes informations du fabricant ne sont actuellement pas disponibles

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Hauteur de l’emballage24 mmLargeur d’emballage155 mmLargeur du produit155 mmLivre d‘étudeNonLongueur d’emballage235 mmLongueur du produit235 mmPoids de l’emballage690 gPolice de caractères extra largeNonÉdition2

EAN

EAN9781441923769

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Opérateur économique responsable dans l’UE

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Anglais

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Paperback