On the dynamical coherence of structurally stable 3-diffeomorphisms

被引：2

作者：

Grines, Vyacheslav Z. ^{[1
]}

Levchenko, Yulia A. ^{[1
]}

Medvedev, Vladislav S. ^{[1
]}

Pochinka, Olga V. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod 603950, Russia

来源：

REGULAR & CHAOTIC DYNAMICS | 2014年 / 19卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

structural stability; surface basic set; partial hyperbolicity; dynamical coherence; EXPANDING ATTRACTORS; DIFFEOMORPHISMS; 3-MANIFOLDS;

D O I：

10.1134/S1560354714040066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：506 / 512

页数：7

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