Modèles pour les applications fibrées et les polysystèmes

We introduce a fibered version of the classical ‘horseshoe’ of Smale, that one can use to analyze the dynamical properties of diffeomorphisms with a normally hyperbolic invariant manifold and suitable homoclinic intersections. Our abstract model gives rise to fibered dynamics over the Bernoulli shift and to the more particular case of polysystems that we define here, which can be seen as the simultaneous iteration of several maps on the same space in any prescribed order. To cite this article: J.-P. Marco, C. R. Acad. Sci. Paris, Ser. I 346 (2008).