Nonlinear Differential Equations and Dynamical Systems (Universitext)

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August 6, 2024 | History

Nonlinear Differential Equations and Dynamical Systems (Universitext)

On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed first. Stability theory is then developed starting with linearisation methods going back to Lyapunov and Poincare.

In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book.

This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation and information dimension. In Hamiltonian systems, topics like Birkhoff normal forms and the Poincare-Birkhoff theorem on periodic solutions have been added. There are now 6 appendices with new material on invariant manifolds, bifurcation of strongly nonlinear self-excited systems and normal forms of Hamiltonian systems.

The subject material is presented from both the qualitative and the quantitative point of view, and is illustrated by many examples.

Publish Date
Publisher
Springer
Language
English
Pages
303

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Edition Availability
Cover of: Nonlinear Differential Equations and Dynamical Systems (Universitext)
Nonlinear Differential Equations and Dynamical Systems (Universitext)
April 3, 2006, Springer
Paperback in English

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Book Details


Classifications

Library of Congress
QA372 .V4713 1996, QA299.6-433

The Physical Object

Format
Paperback
Number of pages
303
Dimensions
9.3 x 6.1 x 0.7 inches
Weight
1 pounds

Edition Identifiers

Open Library
OL9061778M
ISBN 10
3540609342
ISBN 13
9783540609346
LCCN
96002740
OCLC/WorldCat
34617831
LibraryThing
369684
Goodreads
3933560

Work Identifiers

Work ID
OL8055442W

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August 6, 2024 Edited by MARC Bot import existing book
February 26, 2022 Edited by ImportBot import existing book
November 23, 2020 Edited by MARC Bot import existing book
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 10, 2009 Created by WorkBot add works page