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Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences Book 59) by Jan A. Sanders, Ferdinand Verhulst (auth.) is a nonfiction available to read on EtoBox.

What is Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences Book 59) about?

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, i

Who reads Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences Book 59)?

Author

Jan A. Sanders, Ferdinand Verhulst (auth.)

Publisher

Springer New York

Published

1985

Language

EN

ISBN

9780387489162

Category

nonfiction

Subjects

Science, Mathematics, Computer Science