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Averaging Methods in Nonlinear Dynamical Systems. Second Edition.

Averaging Methods in Nonlinear Dynamical Systems. Second Edition.

Averaging Methods in Nonlinear Dynamical Systems. Second Edition. Hardback - 2007

by Sanders, Jan A., Ferdinand Verhulst, James Murdock

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Description

New York: Springer, 2007. 24 × 16 cm, hardcover, xxiv, 432, (2) pages, Text in English, covers partly slightly discolored, very good condition, see picture. Series: Applied Mathematical Sciences, Volume 59. This extensively revised and expanded second edition provides a comprehensive and modern exposition of averaging methods in nonlinear dynamical systems. The authors (Sanders, Vrije Universiteit Amsterdam; Verhulst, Universiteit Utrecht; Murdock, Wright State University) combine rigorous mathematical theory with applications, making the book a key reference for researchers and advanced students in applied mathematics and dynamical systems.
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Details

  • Title Averaging Methods in Nonlinear Dynamical Systems. Second Edition.
  • Author Sanders, Jan A., Ferdinand Verhulst, James Murdock
  • Binding Hardback
  • Edition 2nd
  • Pages 434
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York
  • Publication date 2007
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • Bookseller's Inventory # 80707
  • ISBN 9780387489162 / 0387489169
  • Weight 1.7 lbs (0.77 kg)
  • Dimensions 9.31 x 6.41 x 1.03 in (23.65 x 16.28 x 2.62 cm)
  • Category Mathematics
  • Library of Congress subjects Differentiable dynamical systems, Differential equations, Nonlinear -
  • Library of Congress Catalogue Number 2007926028
  • Dewey Decimal Code 515.39

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From the publisher

This second edition offers a wide-ranging update and revision of the previous edition. 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. Since the first edition, the book has expanded in length and a third author, James Murdock has been added. 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 profuse, illuminating diagrams.

From the rear 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

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