Mathematics-Dynamical Systems

Averaging Methods in Nonlinear Dynamical Systems

US$5.00 US$67.00

Title (user) : Averaging Methods in Nonlinear Dynamical SystemsISBN : 0387489169,9780387489162,9780387489186DOI : 10.1007/978-1-4757-4575-7GoogleBook ID : b93ltUhTEWoCOpenLibrary ID : OL7445919MEdition : 2nd edSeries : Applied Mathematical Sciences...
Description

Title (user) : Averaging Methods in Nonlinear Dynamical Systems

ISBN : 0387489169,9780387489162,9780387489186

DOI : 10.1007/978-1-4757-4575-7

GoogleBook ID : b93ltUhTEWoC

OpenLibrary ID : OL7445919M

Edition : 2nd ed

Series : Applied Mathematical Sciences 59

Authors (user) : Jan A. Sanders, Ferdinand Verhulst (auth.)

Authors (google) : Jan A. Sanders,Ferdinand Verhulst,James Murdock

Publisher : Springer New York

Language : English

Publication Date : 1985

File Format : pdf

Categories : Mathematics


------------------------------------------

Description (user) :

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


------------------------------------------

Description (google) :
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.


------------------------------------------

Table of contents :
Front Matter....Pages N2-x
Basic Material....Pages 1-8
Asymptotics of Slow-time Processes, First Steps....Pages 9-32
The Theory of Averaging....Pages 33-66
Attraction....Pages 67-82
Averaging over Spatial Variables: Systems with Slowly Varying Frequency and Passage through Resonance....Pages 83-123
Normal Forms....Pages 124-142
Hamiltonian Systems....Pages 143-179
Appendices....Pages 181-235
Back Matter....Pages 236-249

Additional Information
0 Reviews for Averaging Methods in Nonlinear Dynamical Systems

Add a review

Your Rating

31212

Character Limit 400

-77%
Integrable Hamiltonian systems: geometry, topology, classification

Integrable Hamiltonian systems: geometry, topology, classification

US$5.00 US$22.00
-83%
Integrability of Nonlinear Systems

Integrability of Nonlinear Systems

US$5.00 US$29.00
-91%
Thermodynamics of Flowing Systems: With Internal Microstructure

Thermodynamics of Flowing Systems: With Internal Microstructure

US$5.00 US$58.00
-88%
Modeling and Control of Discrete-event Dynamic Systems: with Petri Nets and Other Tools

Modeling and Control of Discrete-event Dynamic Systems: with Petri Nets and Other Tools

US$5.00 US$42.00
-90%
Dynamical Systems: Examples of Complex Behaviour

Dynamical Systems: Examples of Complex Behaviour

US$5.00 US$49.00
-92%
Введение в современную теорию динамических систем

Введение в современную теорию динамических систем

US$5.00 US$60.00
-86%
Introduction to the Qualitative Theory of Dynamical Systems on Surfaces

Introduction to the Qualitative Theory of Dynamical Systems on Surfaces

US$5.00 US$35.00
-83%
Hamiltonian Dynamical Systems and Applications (NATO Science for Peace and Security Series B: Physics and Biophysics)

Hamiltonian Dynamical Systems and Applications (NATO Science for Peace and Security Series B: Physics and Biophysics)

US$5.00 US$29.00