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Titlebook: Spectra and Normal Forms; Luís Barreira,Claudia Valls Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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書目名稱Spectra and Normal Forms
編輯Luís Barreira,Claudia Valls
視頻videohttp://file.papertrans.cn/874/873803/873803.mp4
概述Surveys recent developments on the topic.Self-contained with simplified proofs.Detailed notes on the origin of the notions, results, and their proofs
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Spectra and Normal Forms;  Luís Barreira,Claudia Valls Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license t
描述.This book presents the reader with a streamlined exposition of the notions and results leading to the construction of normal forms and, ultimately, to the construction of smooth conjugacies for the perturbations of tempered exponential dichotomies. These are exponential dichotomies for which the exponential growth rates of the underlying linear dynamics never vanish. In other words, its Lyapunov exponents are all nonzero. The authors consider mostly difference equations, although they also briefly consider the case of differential equations. The content is self-contained and all proofs have been simplified or even rewritten on purpose for the book so that all is as streamlined as possible. Moreover, all chapters are supplemented by detailed notes discussing the origins of the notions and results as well as their proofs, together with the discussion of the proper context, also with references to precursor results and further developments. A? useful chapter dependence chart is included in the Preface. The book is aimed at researchers and graduate students who wish to have a sufficiently broad view of the area, without the discussion of accessory material. It can also be used as a ba
出版日期Book 2024
關(guān)鍵詞exponential dichotomies; tempered spectra; normal forms; invariant manifolds; smooth conjugacies
版次1
doihttps://doi.org/10.1007/978-3-031-51897-3
isbn_softcover978-3-031-51896-6
isbn_ebook978-3-031-51897-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Spectra and Normal Forms978-3-031-51897-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
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https://doi.org/10.1007/978-3-031-51897-3exponential dichotomies; tempered spectra; normal forms; invariant manifolds; smooth conjugacies
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