Dynamical Systems on 2- and 3-Manifolds
Grines, Viacheslav Z., Medvedev, Timur V., Pochinka, Olga V.
Produktnummer:
18dda83335479843598c70a48d558d67ba
| Autor: | Grines, Viacheslav Z. Medvedev, Timur V. Pochinka, Olga V. |
|---|---|
| Themengebiete: | Morse-Lyapunov functions Morse-Smale diffeomorphisms diffeomorphisms on 2-manifolds diffeomorphisms on 3-manifolds discrete dynamical systems dynamical systems on manifolds ordinary differential equations qualitative theory of differential equations |
| Veröffentlichungsdatum: | 18.11.2016 |
| EAN: | 9783319448466 |
| Sprache: | Englisch |
| Seitenzahl: | 295 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
Produktinformationen "Dynamical Systems on 2- and 3-Manifolds"
This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms focusing on the nontrivial effects of the dynamical systems on 2- and 3-manifolds. The classical methods and approaches which are considered to be promising for the further research are also discussed.
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