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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2014 Volume 19, Issue 4, Pages 506–512 (Mi rcd177)
This article is cited in 6 papers

On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms

Vyacheslav Z. Grines, Yulia A. Levchenko, Vladislav S. Medvedev, Olga V. Pochinka

Nizhny Novgorod State University, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia

Abstract: We prove that each structurally stable diffeomorphism $f$ on a closed 3-manifold $M^3$ with a two-dimensional surface nonwandering set is topologically conjugated to some model dynamically coherent diffeomorphism.

Keywords: structural stability, surface basic set, partial hyperbolicity, dynamical coherence.

MSC: 37D20, 37D30

Received: 20.03.2014
Accepted: 05.05.2014

Language: English

DOI: 10.1134/S1560354714040066



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