RUS  ENG
Full version
JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2011, Volume 13, Number 1, Pages 29–31 (Mi svmo220)

On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers

V. Z. Grines, Yu. A. Levchenko

Nizhnii Novgorod State Agricultural Academy

Abstract: The present paper is devoted to topological classification of structurally stable diffeomorphisms with two-dimensional surface basic sets on $3$-manifolds. Topological classification of such diffeomorphisms was obtained under certain conditions on the structure of the intersection of two-dimensional invariant manifolds.

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

UDC: 517.938

Received: 22.06.2011



© Steklov Math. Inst. of RAS, 2025