Handbook of dynamical systems
By: edited by H. Broer, F. Takens and B. Hasselblatt
Contributors: ScienceDirect (Online service)
Publisher: Elsevier
Published: 2010
Place of publication: Amsterdam; Oxford
Language: eng
Format: [electronic resource] /
ISBN-13: 9780444531414
Subjects: Differentiable dynamical systems
Description: 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.
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.
Table of contents: title: Complex linearization; title: KAM Theory for circle and annulus maps; title: KAM Theory for flows; title: Further developments in KAM Theory; title: Quasi-periodic bifurcations: dissipative setting; title: Quasi-periodic bifurcation theory in other settings; title: Further Hamiltonian KAM Theory; title: Whitney smooth bundles of KAM tori; title: Conclusion.