The annulus principle in the existence problem for a hyperbolic strange attractor

A certain special class of diffeomorphisms of an ‘annulus’ (equal to the Cartesian product of a ball in $\mathbb R^k$, $k\geqslant 2$, and a circle) is investigated. The so-called annulus principle is established, that is, a list of sufficient conditions ensuring that each diffeomorphism in this class has a strange hyperbolic attractor of Smale-Williams solenoid type is given.
Bibliography: 20 titles.