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

Grines, V.; Noskova, M.; Pochinka, O.

doi:10.1090/mosc/249

The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor
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by V. Z. Grines, M. K. Noskova and O. V. Pochinka
Translated by: E. Khukhro

Trans. Moscow Math. Soc. 2015, 237-249

DOI: https://doi.org/10.1090/mosc/249

Published electronically: November 18, 2015

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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.

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