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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2014, Volume 16, Number 2, Pages 20–25 (Mi svmo472)

Energy function for structurally stable 3-diffeomorphisms with two-dimensional expanding attractor

V. Z. Grines, M. K. Noskova, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: In this paper we prove the existence of the energy function for the structurally stable diffeomorphisms of closed three-dimensional manifolds non-wandering set of which contains two-dimensional expanding attractor

Keywords: Structurally stable system, expanding attractor, energy function.

UDC: 517.9

Received: 25.07.2014



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