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

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Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences, 59) image
ISBN-10:

0387489169

ISBN-13:

9780387489162

Author(s): Murdock, James; Verhulst, Ferdinand
Edition: 2nd
Released: Jun 06, 2007
Publisher: Springer
Format: Hardcover, 458 pages
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Description:

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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