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Handbook of dynamical systems
H. W. Broer, Floris Takens, Bo ...

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Handbook of dynamical systems
edited by H. Broer, F. Takens and B. Hasselblatt

Published 2010 by Elsevier in Amsterdam, Oxford .
Written in English.

About the Book

In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems.

Table of Contents

Complex linearization
KAM Theory for circle and annulus maps
KAM Theory for flows
Further developments in KAM Theory
Quasi-periodic bifurcations: dissipative setting
Quasi-periodic bifurcation theory in other settings
Further Hamiltonian KAM Theory
Whitney smooth bundles of KAM tori

Edition Notes

Includes index.

Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2010. Mode of access: World Wide Web. System requirements: Web browser. Title from title screen (viewed on Nov. 3, 2010). Access may be restricted to users at subscribing institutions.


Dewey Decimal Class
Library of Congress
QA614.8 .H36 v.3

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