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Titlebook: Dynamical Systems on 2- and 3-Manifolds; Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Poc Book 2016 Springer International Publishing Sw

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書目名稱Dynamical Systems on 2- and 3-Manifolds
編輯Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Poc
視頻videohttp://file.papertrans.cn/284/283890/283890.mp4
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
叢書名稱Developments in Mathematics
圖書封面Titlebook: Dynamical Systems on 2- and 3-Manifolds;  Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Poc Book 2016 Springer International Publishing Sw
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
關(guān)鍵詞diffeomorphisms on 2-manifolds; diffeomorphisms on 3-manifolds; qualitative theory of differential equ
版次1
doihttps://doi.org/10.1007/978-3-319-44847-3
isbn_softcover978-3-319-83149-7
isbn_ebook978-3-319-44847-3Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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,Interrelation Between the Dynamics of Morse–Smale Diffeomorphisms and the Topology of the Ambient 3th the number .where . is the number of the saddle periodic points and . is the number of the knot periodic points of the diffeomorphism .. In the section 6.1 we construct the topological classification of closed orientable 3-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curve
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The Properties of Nontrivial Basic Sets of A-Diffeomorphisms Related to Type and Dimension, set . in the interior of .. We state some important properties of the basic sets in relation to their type and dimension. These properties are used for the topological classification of the basic sets (including expanding attractors and contracting repellers) as well as for important classes of str
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Basic Topological Concepts of Dynamical Systems,his chapter we review the basic definitions and facts, necessary for understanding the presented results. We begin the fundamental notions of a set and of a map, we describe which structures one has to define on a set to make it a group, a linear space, a metric space. We recall the main properties
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