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Dynamical systems on 2- and 3-Manifo...

Grines, Viacheslav Z.

Dynamical systems on 2- and 3-Manifolds[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	514.34
書名/作者:	Dynamical systems on 2- and 3-Manifolds/ by Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka.
作者:	Grines, Viacheslav Z.
其他作者:	Medvedev, Timur V.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xxvi, 295 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Dynamical Systems and Ergodic Theory.
標題:	Ordinary Differential Equations.
標題:	Topological manifolds.
標題:	Three-manifolds (Topology)
標題:	Mathematics.
標題:	Topology.
ISBN:	9783319448473
ISBN:	9783319448466
內容註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-44847-3

Dynamical systems on 2- and 3-Manifolds[electronic resource] /
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

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

464934
Dynamical Systems and Ergodic Theory.

LC Class. No.: QA613.2

Dewey Class. No.: 514.34

Dynamical systems on 2- and 3-Manifolds[electronic resource] /
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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.
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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 2 4 $a Dynamical Systems and Ergodic Theory. $3 464934
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