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Regular version of the site

Article

Слоения коразмерности один на трехмерной сфере со счетным семейством компактных слоев-аттракторов

Нелинейная динамика. 2017. Т. 13. № 4. С. 579-584.

In this paper we present the explicit construction of a continuum family of smooth
 pairwise not isomorphic foliations of codimension one on a standard three-dimensional sphere,
each of which has countable many compact leaves-attractors diffeomorphic to the torus. As it was proved by S. P. Novikov, every
smooth foliation of codimension one on a standard three-dimensional sphere contains a Reeb component.
Changing this foliation  only in the Reeb  component by the indicated method we get a continuum family
of smooth pairwise non-isomorphic foliations containing a countable set of compact leaves-attractors
which coincides with the origin foliation outside
this Reeb component.