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Dynamical systems on 2- and 3-Manifolds

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This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds. The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms focusing on the nontrivial effects of the dynamical systems on 2- and 3-manifolds. The classical methods and approaches which are considered to be promising for the further research are also discussed.

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Series Title

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Call Number

515.353

Publisher

Cham : Springer., 2016

Collation

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Language

English

ISBN/ISSN

9783319448473

Classification

515.353

Content Type

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Media Type

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Carrier Type

online resource

Edition

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Subject(s)

Differential calculus & equations

Specific Detail Info

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Statement of Responsibility

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Other Information

Cataloger

Kurnadi

Source

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