Hyperbolic annulus principle

Аннотация

We study a special class of diffeomorphisms of an annulus (the direct product of a ball in ℝ^k, k ≥ 2, by an m-dimensional torus). We prove the so-called annulus principle; i.e., we suggest a set of sufficient conditions under which each diffeomorphism in a given class has an m-dimensional expanding hyperbolic attractor.