Averaging Methods in Nonlinear Dynamical Systems
Science & Engineering

Averaging Methods in Nonlinear Dynamical SystemsPublisher: Springer
Language: English
ISBN: 0387489169
Paperback: 434 pages
Data: Jun 2007
Format: PDF
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.

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    • 3 Responses to “Averaging Methods in Nonlinear Dynamical Systems”

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      October 14th, 2007 at 9:27 am

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      October 22nd, 2009 at 6:09 pm

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      November 13th, 2009 at 8:10 am

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