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Global Stability of Dynamical Systems by Michael Shub ; translated by Joseph Christy

By: Shub, Michael [].
Contributor(s): Christy, Joseph [] | SpringerLink (Online service).
New York, NY Springer New York Imprint: Springer 2010Edition: First edition.Description: ix,150 pages illustrations 23 cm.Content type: Media type: Carrier type: ISBN: 9781475719475; 9781441930798 (print).Subject(s): Mathematics | Global analysis (mathematics) | Matematicas | Análisis global (matemáticas) | AnalisisDDC classification: 515 Online resources: Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive)
Contents:
Generalities -- Filtrations -- Sequences of Filtrations -- Hyperbolic Sets -- Stable Manifolds -- Stable Manifolds for Hyperbolic Sets -- More Consequences of Hyperbolicity -- Stability -- A Potpourri of Stability Results -- Markov Partitions -- List of Notation.
In: Springer eBooksSpringerLink ebooks - Mathematics and Statistics (Archive)Summary: 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 France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.
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Item type Current location Collection Call number Vol info Copy number Status Date due Barcode Item holds
Libros Libros Biblioteca Central
General 515 / Sh91g (Browse shelf) 2010/Primera edición Ej. 1 Available 900000012077
Total holds: 0

Includes bibliographical references and index

Generalities -- Filtrations -- Sequences of Filtrations -- Hyperbolic Sets -- Stable Manifolds -- Stable Manifolds for Hyperbolic Sets -- More Consequences of Hyperbolicity -- Stability -- A Potpourri of Stability Results -- Markov Partitions -- List of Notation.

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 France and Langevin was unfortunately unavailable. I ran out of steam by the time it came to Chapter 10. M.

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