Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation de la dynamique de diff\'eomorphismes en topologie C^1 /
  Perturbation of the dynamics of diffeomorphisms in the C^1-topology   Les travaux pr\'esent\'es dans ce m\'emoire portent sur la dynamique de
diff\'eomorphismes de vari\'et\'es compactes. Pour l'\'etude des propri\'et\'es
g\'en\'eriques ou pour la construction d'exemples, il est souvent utile de
savoir perturber un syst\`eme. Ceci soul\`eve g\'en\'eralement des probl\`emes
d\'elicats : une modification locale de la dynamique peut engendrer un
changement brutal du comportement des orbites. En topologie C^1, nous proposons
diverses techniques permettant de perturber tout en contr\^olant la dynamique :
mise en transversalit\'e, connexion d'orbites, perturbation de la dynamique
tangente, r\'ealisation d'extensions... Nous en tirons diverses applications
\`a la description de la dynamique des diff\'eomorphismes C^1-g\'en\'eriques.
<p> 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 dynamic may cause a
radical change in the behavior of the orbits. For the C^1 topology, we propose
various techniques which allow to perturb while controlling the dynamic:
setting in transversal position, connection of orbits, perturbation of the
tangent dynamics,... We derive various applications to the description of the
C^1-generic diffeomorphisms.

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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph