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Dynamical systems on 2- and 3-Manifolds

Grines, Viacheslav Z.

Dynamical systems on 2- and 3-Manifolds

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamical systems on 2- and 3-Manifoldsby Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka.
Author:	Grines, Viacheslav Z.
other author:	Medvedev, Timur V.
Published:	Cham :Springer International Publishing :2016.
Description:	xxvi, 295 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Topological manifolds.
Online resource:	http://dx.doi.org/10.1007/978-3-319-44847-3
ISBN:	9783319448473$q(electronic bk.)

Dynamical systems on 2- and 3-Manifolds
Grines, Viacheslav Z.

Dynamical systems on 2- and 3-Manifolds[electronic resource] /by Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka. - Cham :Springer International Publishing :2016. - xxvi, 295 p. :ill., digital ;24 cm. - Developments in mathematics,v.461389-2177 ;. - Developments in mathematics ;v.25..

List of Symbols -- Introduction -- Further reading -- 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.

ISBN: 9783319448473$q(electronic bk.)

Standard No.: 10.1007/978-3-319-44847-3doiSubjects--Topical Terms:

205883
Topological manifolds.

LC Class. No.: QA613.2

Dewey Class. No.: 514.34

Dynamical systems on 2- and 3-Manifolds
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100 1 $a Grines, Viacheslav Z. $3 763184
245 1 0 $a Dynamical systems on 2- and 3-Manifolds $h [electronic resource] / $c by Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xxvi, 295 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 1389-2177 ; $v v.46
505 0 $a List of Symbols -- Introduction -- Further reading -- 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.
650 0 $a Topological manifolds. $3 205883
650 0 $a Three-manifolds (Topology) $3 192047
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Topology. $3 185965
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Ordinary Differential Equations. $3 273778
700 1 $a Medvedev, Timur V. $3 763185
700 1 $a Pochinka, Olga V. $3 763186
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950 $a Mathematics and Statistics (Springer-11649)