E-Book, Englisch, Band 46, 295 Seiten, eBook
Reihe: Developments in Mathematics
Grines / Medvedev / Pochinka Dynamical Systems on 2- and 3-Manifolds
1. Auflage 2016
ISBN: 978-3-319-44847-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 46, 295 Seiten, eBook
Reihe: Developments in Mathematics
ISBN: 978-3-319-44847-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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