Dynamical systems on 2- and 3-Manifolds / Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka.

Format:

Book

Author/Creator:

Grines, Viacheslav Z., author.

Medvedev, Timur V., author.

Pochinka, Olga V., author.

Series:

Developments in mathematics ; v. 46.

Developments in mathematics, 1389-2177 ; volume 46

Language:

English

Subjects (All):

Topological manifolds.

Three-manifolds (Topology).

Physical Description:

xxvi, 295 pages : illustrations ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer, [2016]

Summary:

This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.

Contents:

1. Introduction to dynamical systems

2. General properties of the Morse-Smale diffeomorphisms

3. The topological classification of the gradient-like diffeomorphism on surfaces

4. Wild embedding on the separatrices into 3-manifolds and Pixton diffeomorphism

5. The classification of the gradient-like diffeomorphisms on 3-manifolds

6. Interrelation between the dynamics of Morse-Smale diffeormorphisms and the topology of the ambient 3-manifold

7. An energy function for Morse-Smale diffeomorphisms on 3-manifolds

8. The properties of nontrivial basic sets of A-diffeomorphisms related to type and dimension

9. The classification of nontrivial basic sets of A-diffeomorphisms of surfaces

10. Basic topological concepts of dynamical systems

Index.

Notes:

Includes bibliographical references and index.

ISBN:

9783319448466

3319448463

OCLC:

953709641

Publisher Number:

99974606211