Handbook of Dynamical Systems

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Handbook of Dynamical Systems by , Elsevier Science
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Author: ISBN: 9780080932262
Publisher: Elsevier Science Publication: November 10, 2010
Imprint: North Holland Language: English
Author:
ISBN: 9780080932262
Publisher: Elsevier Science
Publication: November 10, 2010
Imprint: North Holland
Language: English

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 bifurcations 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 bifurcations of differentiable dynamical systems
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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.

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