Perturbation de la dynamique de difféomorphismes en topologie C¹ /
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| Author / Creator: | Crovisier, Sylvain. |
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| Imprint: | Paris : Société Mathématique de France, 2013. |
| Description: | vii, 164 p. : ill. ; 24 cm. |
| Language: | French |
| Series: | Astérisque, 0303-1179 ; 354 Astérisque ; 354. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9847978 |
| Summary: | This memoir deals with the dynamics of diffeomorphisms of compact manifolds. For the study of generic properties or for the construction of examples, it is often useful to be able to perturb a system. This generally leads to delicate problems: a local modification of the dynamics may cause a radical change in the behavior of the orbits. For the $C^1$ topology, the author proposes various techniques which allow perturbation while controlling the dynamic: putting in transversal position, connection of orbits, perturbation of the tangent dynamics,... The author derives various applications to the description of $C^1$-generic diffeomorphisms. |
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| Physical Description: | vii, 164 p. : ill. ; 24 cm. |
| Bibliography: | Includes bibliographical references (p. [149]-162) and index. |
| ISBN: | 9782856297643 2856297641 |
| ISSN: | 0303-1179 ; |