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Titlebook: One-Dimensional Dynamics; Welington Melo,Sebastian Strien Book 1993 Springer-Verlag Berlin Heidelberg 1993 Dynamical Systems.Dynamische Sy

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發(fā)表于 2025-3-21 18:45:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱One-Dimensional Dynamics
編輯Welington Melo,Sebastian Strien
視頻videohttp://file.papertrans.cn/702/701463/701463.mp4
叢書名稱Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati
圖書封面Titlebook: One-Dimensional Dynamics;  Welington Melo,Sebastian Strien Book 1993 Springer-Verlag Berlin Heidelberg 1993 Dynamical Systems.Dynamische Sy
描述One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer‘s tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).
出版日期Book 1993
關(guān)鍵詞Dynamical Systems; Dynamische Systeme; Eindimensionale dynamische Systeme; Interval dynamics; Intervalld
版次1
doihttps://doi.org/10.1007/978-3-642-78043-1
isbn_softcover978-3-642-78045-5
isbn_ebook978-3-642-78043-1Series ISSN 0071-1136 Series E-ISSN 2197-5655
issn_series 0071-1136
copyrightSpringer-Verlag Berlin Heidelberg 1993
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沙發(fā)
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The Structure of Smooth Maps,In the last chapter we described the structure of the unimodal maps with negative Schwarzian derivative. The ingredients we used were: i) the combinatorial theory of Section II.3; ii) the finiteness of attractors; iii) the non-existence of wandering intervals. For ii) and iii) we used the assumption on the Schwarzian derivative.
板凳
發(fā)表于 2025-3-22 02:56:05 | 只看該作者
Appendix,The purpose of this appendix is to present some basic definitions, theorems and background material for this book. We assume the reader to be familiar with manifolds.
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Circle Diffeomorphisms,ible case is quite different, many techniques and theorems for analyzing these non-invertible systems find their roots in the invertible case. One of our aims in this book is to emphasize these similarities.
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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematihttp://image.papertrans.cn/o/image/701463.jpg
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