Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic. Series: Applied Mathematical Sciences. Num Pages: 458 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 23. Weight in Grams: 700. . 2010. Softcover reprint of hardcover 2nd ed. 2007. paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9781441923769

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Bibliografische Details

Titel: Averaging Methods in Nonlinear Dynamical Systems
Verlag: Springer
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 1441923764
ISBN-13: 9781441923769
Einband: Softcover
Auflage: 2. Auflage
Zustand: New

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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.

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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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