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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 f...
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , , |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Series: | Developments in Mathematics,
46 |
| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- 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.