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

Publisher	Amsterdam ; Oxford : Elsevier
Year	2010
Authors	Broer, H. W 1950- Takens, Floris Hasselblatt, Boris

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Links to the text	Location	Volume	Call No.	Barcode No.	Status	Comments	ISBN	Printed	Restriction	Reserve
Links to the text	Library Off-campus access			OB00191639		ScienceDirect (電子ブック)	9780444531414

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Material Type	E-Book
Media type	機械可読データファイル
Size	1 online resource
Notes	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 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 -- Conclusion Includes bibliographical references and indexes Print version record Elsevier ScienceDirect All Books HTTP:URL=https://www.sciencedirect.com/science/handbooks/1874575X/3
Subjects	LCSH:Differentiable dynamical systems CSHF:Dynamique différentiable FREE:MATHEMATICS -- Differential Equations -- General All Subject Search FREE:Differentiable dynamical systems LCSH:dynamische systemen LCSH:dynamic systems LCSH:theorie LCSH:theory LCSH:Systems and Control Theory LCSH:Theorie van meet- regel- en systeemtechniek
Classification	LCC:QA614.8 DC22:515.39
ID	8000090795
ISBN	9780444531414