NON-ZERO LYAPUNOV EXPONENTS FOR SOME CONSERVATIVE PARTIALLY HYPERBOLIC SYSTEMS

被引：0

作者：

Zhou, Yunhua ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 07期

关键词：

Lyapunov exponents; partial hyperbolicity; domination; NONUNIFORM HYPERBOLICITY; STABLE ERGODICITY; DIFFEOMORPHISMS;

D O I：

10.1090/S0002-9939-2015-12498-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let PH mu 1(M, 3) be the set of C-1 conservative partially hyperbolic diffeomorphisms with center dimensions three or less. We prove that there is a dense subset H subset of PH mu 1(M, 3) such that each f is an element of H has non-zero Lyapunov exponents on a set of positive volume.

引用

页码：3147 / 3153

页数：7

共 14 条

[1] NONUNIFORM HYPERBOLICITY, GLOBAL DOMINATED SPLITTINGS AND GENERIC PROPERTIES OF VOLUME-PRESERVING DIFFEOMORPHISMS
Avila, Artur
Bochi, Jairo
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (06) : 2883 - 2907
[2] On the regularization of conservative maps
Avila, Artur
[J]. ACTA MATHEMATICA, 2010, 205 (01) : 5 - 18
[3] Removing zero Lyapunov exponents
Baraviera, AT
Bonatti, C
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2003, 23 : 1655 - 1670
[4] Partial hyperbolicity, Lyapunov exponents and stable ergodicity
Burns, K
Dolgopyat, D
Pesin, Y
[J]. JOURNAL OF STATISTICAL PHYSICS, 2002, 108 (5-6) : 927 - 942
[5] On the ergodicity of partially hyperbolic systems
Burns, Keith
Wilkinson, Amie
[J]. ANNALS OF MATHEMATICS, 2010, 171 (01) : 451 - 489
[6] Non-zero Lyapunov exponents and uniform hyperbolicity
Cao, YL
[J]. NONLINEARITY, 2003, 16 (04) : 1473 - 1479
[7] Dolgopyat Dmitry, 2003, GEOMETRIC METHODS DY, Vxvii, P33
[8] Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
Hertz, F. Rodriguez
Hertz, M. A. Rodriguez
Ures, R.
[J]. INVENTIONES MATHEMATICAE, 2008, 172 (02) : 353 - 381
[9] Pesin Ja. B., 1977, USP MAT NAUK, V32, P55
[10] Pesin Ya, 1977, USP MAT NAUK, V32, P287

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