Author:
Glyzin S. D.,Kolesov A. Yu.,Rozov N. Kh.
Abstract
Abstract
An arbitrary diffeomorphism
of an annular set of the form
is considered, where
is a ball in a Banach space and
is a (finite- or infinite-dimensional) torus. A system of effective sufficient conditions is proposed which ensure that
has a global attractor
that can be represented as a generalized solenoid, that is, the inverse limit
, where
is an expanding linear endomorphism of the torus
. Furthermore, the restriction
is topologically conjugate to a shift map of the solenoid.
Bibliography: 25 titles.
Funder
Russian Foundation for Basic Research
Cited by
7 articles.
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