In Middle Volga Mathematical Society

On classification for diffeomorphisms of 3-dimensional manifolds with a surface attractors and repellers.

Yu. A. Levchenko

Nizhnii Novgorod State Agricultural Academy

Abstract: Necessary and sufficient condition of topological conjugacy from some class of structurally stable diffeomorphisms with two-dimensional basic sets on three-manifolds are obtained.

Keywords: $A$-diffeomorphism, basic set, attractor, repeller topological classification.

UDC: 513.83