Averaging Methods in Nonlinear Dynamical Systems

Jan A. Sanders,Ferdinand Verhulst,James Murdock

Averaging Methods in Nonlinear Dynamical Systems
Format
Hardback
Publisher
Springer-Verlag New York Inc.
Country
United States
Published
6 June 2007
Pages
434
ISBN
9780387489162

Averaging Methods in Nonlinear Dynamical Systems

Jan A. Sanders,Ferdinand Verhulst,James Murdock

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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.

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