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Titlebook: Global Stability of Dynamical Systems; Michael Shub Book 1987 Springer-Verlag Berlin Heidelberg 1987 dynamical systems.manifold.stability

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发表于 2025-3-21 19:27:53 | 显示全部楼层 |阅读模式
书目名称Global Stability of Dynamical Systems
编辑Michael Shub
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图书封面Titlebook: Global Stability of Dynamical Systems;  Michael Shub Book 1987 Springer-Verlag Berlin Heidelberg 1987 dynamical systems.manifold.stability
描述These notes are the result of a course in dynamical systems given at Orsay during the 1976-77 academic year. I had given a similar course at the Gradu­ ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale‘s n-Stability Theorem as completely and compactly as possible and in such a way that the students would have easy access to the literature. I was not confident that I could do all this in lectures in French, so I decided to distribute lecture notes. I wrote these notes in English and Remi Langevin translated them into French. His work involved much more than translation. He consistently corrected for style, clarity, and accuracy. Albert Fathi got involved in reading the manuscript. His role quickly expanded to extensive rewriting and writing. Fathi wrote (5. 1) and (5. 2) and rewrote Theorem 7. 8 when I was in despair of ever getting it right with all the details. He kept me honest at all points and played a large role in the final form of the manuscript. He also did the main work in getting the manuscript ready when I had left Fra
出版日期Book 1987
关键词dynamical systems; manifold; stability
版次1
doihttps://doi.org/10.1007/978-1-4757-1947-5
isbn_softcover978-1-4419-3079-8
isbn_ebook978-1-4757-1947-5
copyrightSpringer-Verlag Berlin Heidelberg 1987
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Book 1987­ ate Center of the City University of New York the previous year and came to France equipped with the class notes of two of my students there, Carol Hurwitz and Michael Maller. My goal was to present Smale‘s n-Stability Theorem as completely and compactly as possible and in such a way that the stud
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Filtrations,asymptotically specifies an invariant set. With this in mind we make several definitions. Given a homeomorphism ., of ., a filtration . adapted to . is a nested sequence Ø = .. ⊂ .. ⊂ ··· ⊂ .. = . of smooth, compact codimension 0 submanifolds with boundary of ., such that .(..), ⊂ Int ...
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https://doi.org/10.1007/978-1-4757-1947-5dynamical systems; manifold; stability
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https://doi.org/10.1007/978-3-658-36135-8Let . be a smooth compact manifold, and .: . → . a diffeomorphism. Our goal is to study the structure of the orbits of f, where the orbit of a point . is the set {..(x)|n ∈ .}. We seek to describe the “history” of points of M; i.e., to follow them as we repeat f many times. First, the points with the simplest histories.
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John Drew,Blair McCallum,Stefan RoggenhoferLet .: Ø=.. ⊂ ··· ⊂ .., = M and .: Ø=.. ⊂ ··· ⊂ .. = . be two filtrations of .. We say that . refines . if and only if for all . = 0,..., . − 1, there is a ., 0 ≤ . ≤ . − 1 such that (... − ..) ⊂ (... − ..).
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Journeys in Argentine and Brazilian CinemaLet Λ be an invariant set for a .. diffeomorphism . of a manifold .. We say that Λ is a . for . if there is a continuous splitting of the tangent bundle of . restricted to Λ, .., which is . invariant: . and for which there are constants . and λ, .>0 and 0<λ <1, such that
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