Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences) (Volume 59)

Sanders, Jan A

ISBN 10: 0387962298 / ISBN 13: 9780387962290

Published by Springer-Verlag New York Inc., 1985

About this Item

Volume 59. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:0387962298.

Seller Inventory # 4314448

Bibliographic Details

• Title: Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences) (Volume 59)
• Publisher: Springer-Verlag New York Inc.
• Publication Date: 1985
• Language: English
• ISBN 10: 0387962298
• ISBN 13: 9780387962290
• Binding: Soft cover
• Condition: Fair
• Weight: 450 grams
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the 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 illuminating diagrams.

From the Back Cover

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