Averaging Methods in Nonlinear Dynamical Systems: 59 (Applied Mathematical Sciences, 59) - Tapa dura

Libro 32 de 94: Applied Mathematical Sciences

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

 
9780387489162: Averaging Methods in Nonlinear Dynamical Systems: 59 (Applied Mathematical Sciences, 59)
Tapa dura
ISBN 10: 0387489169 ISBN 13: 9780387489162
Editorial: Springer, 2007

Sinopsis

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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De la contraportada

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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Editorial
Springer
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0387489169
ISBN 13 
9780387489162
Encuadernación
Tapa dura
Número de edición
2
Número de páginas
460
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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