V. Z. Grines, M. K. Noskova, O. V. Pochinka, “The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor”, Tr. Mosk. Mat. Obs., 2015, Volume 76, Issue 2,Pages <nobr>271

This article is cited in 6 papers

The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor

V. Z. Grines^ab, M. K. Noskova^a, O. V. Pochinka^b

^a Nizhniĭ Novgorod State University
^b National Research University Higher School of Economics

Abstract: In this paper we establish the existence of an energy function for structurally stable diffeomorphisms of closed three-dimensional manifolds whose nonwandering set contains a two-dimensional expanding attractor.

Key words and phrases: Energy function, $DA$-diffeomorphism, structurally stable.

UDC: 517.938

MSC: 37D20

Received: 03.01.2015
Revised: 13.03.2015