INTEGRABILITY AND LYAPUNOV EXPONENTS

被引：7

作者：

Hammerlindl, Andy ^{[1
]}

机构：

[1] Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

JOURNAL OF MODERN DYNAMICS | 2011年 / 5卷 / 01期

关键词：

Integrability; Lyapunov exponents; PARTIALLY HYPERBOLIC DIFFEOMORPHISMS; LIPSCHITZ DISTRIBUTIONS; STABLE ERGODICITY; ACCESSIBILITY; MANIFOLDS; SYSTEMS;

D O I：

10.3934/jmd.2011.5.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A smooth distribution, invariant under a dynamical system, integrates to give an invariant foliation, unless certain resonance conditions are present.

引用

页码：107 / 122

页数：16

共 17 条

[1]

[Anonymous], 1974, Izv. Akad. Nauk SSSR Ser. Mat.

[2]

[Anonymous], 1977, LECT NOTES MATH

[3]

Anosov D.V., 1969, P STEKLOV I MATH, V90

[4] Center manifolds for nonuniformly partially hyperbolic diffeomorphisms [J].

Barreira, L ;

Valls, C .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (12) :1693-1715

[5]

Burns K, 2008, DISCRETE CONT DYN S, V22, P89

[6]

Burns K, 2008, DISCRETE CONT DYN-A, V22, P75

[7] On the ergodicity of partially hyperbolic systems [J].

Burns, Keith ;

Wilkinson, Amie .

ANNALS OF MATHEMATICS, 2010, 171 (01) :451-489

[8] The parameterization method for invariant manifolds I:: Manifolds associated to non-resonant subspaces [J].

Cabré, X ;

Fontich, E ;

De la Llave, R .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2003, 52 (02) :283-328

[9] Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle [J].

Hertz, F. Rodriguez ;

Hertz, M. A. Rodriguez ;

Ures, R. .

INVENTIONES MATHEMATICAE, 2008, 172 (02) :353-381

[10]

MANE R, 1987, ERGEBNISSE MATH IH 3, V8

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