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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2015, Volume 17, Number 3, Pages 12–17
(Mi svmo546)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Construction of an energy function for A-diffeomorphisms of two-dimensional non-wandering sets on 3-manifolds
V. Z. Grinesa, M. K. Noskovab, O. V. Pochinkaa
a State University – Higher School of Economics, Nizhny Novgorod Branch
b Institute of Informational Technologies, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod
Abstract:
In this paper we consider the A-diffeomorphisms of closed orientable 3-manifolds. Assuming that the non-wandering set of the diffeomorphism consists of basic sets whose topological dimension is two, it is proved that it has the energy function.
Keywords:
energy function, basic set, Anosov diffeomorphism.
Received: 10.12.2015
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