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Titlebook: Elements of Topological Dynamics; J. Vries Book 1993 Springer Science+Business Media Dordrecht 1993 Compactification.differential equation

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發(fā)表于 2025-3-21 19:41:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elements of Topological Dynamics
編輯J. Vries
視頻videohttp://file.papertrans.cn/308/307653/307653.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Elements of Topological Dynamics;  J. Vries Book 1993 Springer Science+Business Media Dordrecht 1993 Compactification.differential equation
描述This book is designed as an introduction into what I call ‘a(chǎn)bstract‘ Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa- is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ‘ rather than ‘Introduction . . . ‘) does not mean that this book should be compared, either in scope or in (intended) impact, with the ‘Ele- ments‘ of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob- lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under- stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the o
出版日期Book 1993
關(guān)鍵詞Compactification; differential equation; dynamical systems; integration; semigroup; topology; transformati
版次1
doihttps://doi.org/10.1007/978-94-015-8171-4
isbn_softcover978-90-481-4274-3
isbn_ebook978-94-015-8171-4
copyrightSpringer Science+Business Media Dordrecht 1993
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沙發(fā)
發(fā)表于 2025-3-21 22:00:24 | 只看該作者
板凳
發(fā)表于 2025-3-22 02:14:05 | 只看該作者
地板
發(fā)表于 2025-3-22 05:17:54 | 只看該作者
ps with respect to problems that can be traced back to the qualitative theory of differential equa- is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ‘ rather than ‘Introduction . . . ‘) does not mean that this book should be compared, either in scope or i
5#
發(fā)表于 2025-3-22 10:13:36 | 只看該作者
Various Aspects of the Theory of Dynamical Systems, attempt to explain the relationship of . with other parts of dynamical systems theory, notably . and . (also called the Theory of Smooth Dynamical Systems). Although in this chapter almost no ‘a(chǎn)bstract’ Topological Dynamics will be treated, we hope in this way to contribute to an understanding of i
6#
發(fā)表于 2025-3-22 15:55:08 | 只看該作者
Continuous and Discrete Flows,y—but some recent material is added. A central role is played by ., in various forms. First, there is the theory of stability of invariant points and, more generally, invariant subsets (questions like: do they attract nearby orbits?). This topic will be almost neglected in this book. A second stabil
7#
發(fā)表于 2025-3-22 17:46:32 | 只看該作者
Structure of Extensions, ‘lifted’ (by means of proximal extensions—even strongly proximal ones) to a RIM-extension of compact minimal flows. As proximal extensions are, from a dynamical point of view, close to isomorphisms (asymptotically, different points in any fiber cannot be distinguished), one expects that useful prop
8#
發(fā)表于 2025-3-22 21:39:24 | 只看該作者
9#
發(fā)表于 2025-3-23 03:04:14 | 只看該作者
Various Aspects of the Theory of Dynamical Systems, attempt to explain the relationship of . with other parts of dynamical systems theory, notably . and . (also called the Theory of Smooth Dynamical Systems). Although in this chapter almost no ‘a(chǎn)bstract’ Topological Dynamics will be treated, we hope in this way to contribute to an understanding of its roots.
10#
發(fā)表于 2025-3-23 07:39:42 | 只看該作者
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