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

S. D. Glyzin   ; A. Yu. Kolesov   ; N. Kh. Rozov

Sbornik. Mathematics, Tome 207 (2016) no. 4, pp. 490-518

Résumé

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.

Détail

Keywords: hyperbolic attractor, topological mixing.
Mots-clés : annulus principle, invariant foliation, solenoid

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