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Dynamical systems on 2- and 3-Manifolds

Grines, Viacheslav Z.

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Dynamical systems on 2- and 3-Manifolds

紀錄類型:	書目-電子資源 : Monograph/item
正題名/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.
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.
Contained By:	Springer eBooks
標題:	Topological manifolds. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-44847-3
ISBN:	9783319448473

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.46..

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:

668147
Topological manifolds.

LC Class. No.: QA613.2

Dewey Class. No.: 514.34

Dynamical systems on 2- and 3-Manifolds
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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.
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