ENGLISH

Averaging Methods in Nonlinear Dynamical Systems

By Ferdinand Verhulst (auth.) , Jan A. Sanders

Book information

Publisher
Springer New York
Year
1985
ISBN
0387962298, 9780387962290
DOI
10.1007/978-1-4757-4575-7
LCC
QA1 .A647 vol. 59,QA372 .A647 vol. 59
Open Library ID
OL2540878M
Language
english
Format
DJVU
Filesize
2 MB (2611295 bytes)
Series
Applied Mathematical Sciences 59
Edition
1
Pages
128\128
Library
Kolxo3
DPI
300
Scanned
landscape
Time added
2009-07-20 03:45:11
Analysis; TheoreticalMathematical and Computational Physics

Description

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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