书目名称 | Dynamical Systems on 2- and 3-Manifolds |
编辑 | Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Poc |
视频video | |
概述 | Discusses classical methods and approaches considered to be promising for the further research.Presents main results on the topological classification of discrete dynamical systems.Accessible to ambit |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | 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..<.The reader needs to be familiar with thebasic concepts of the qualitative theory of dynamical systems which are presented in Part 1 for convenience. The book is accessible to ambitious undergraduates, graduates, and researchers in dynamical systems and low dimensional topology. This volume consis |
出版日期 | Book 2016 |
关键词 | diffeomorphisms on 2-manifolds; diffeomorphisms on 3-manifolds; qualitative theory of differential equ |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-44847-3 |
isbn_softcover | 978-3-319-83149-7 |
isbn_ebook | 978-3-319-44847-3Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | Springer International Publishing Switzerland 2016 |