Geodesic
Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1687-1706

Voir la notice de l'article provenant de la source Numdam

We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In this set, we prove that the non-uniformly hyperbolic maps are Cr open and there exists a Cr open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.

DOI : 10.1016/j.anihpc.2018.01.007
Classification : 37D25, 37D30
Keywords: Partially hyperbolic diffeomorphisms, Lyapunov exponents, Non-uniform hyperbolicity 
@article{AIHPC_2018__35_6_1687_0,
     author = {Liang, Chao and Marin, Karina and Yang, Jiagang},
     title = {Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1687--1706},
     publisher = {Elsevier},
     volume = {35},
     number = {6},
     year = {2018},
     doi = {10.1016/j.anihpc.2018.01.007},
     mrnumber = {3846241},
     zbl = {1398.37025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2018.01.007/}
}
TY  - JOUR
AU  - Liang, Chao
AU  - Marin, Karina
AU  - Yang, Jiagang
TI  - Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2018
SP  - 1687
EP  - 1706
VL  - 35
IS  - 6
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2018.01.007/
DO  - 10.1016/j.anihpc.2018.01.007
LA  - en
ID  - AIHPC_2018__35_6_1687_0
ER  - 
%0 Journal Article
%A Liang, Chao
%A Marin, Karina
%A Yang, Jiagang
%T Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
%J Annales de l'I.H.P. Analyse non linéaire
%D 2018
%P 1687-1706
%V 35
%N 6
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2018.01.007/
%R 10.1016/j.anihpc.2018.01.007
%G en
%F AIHPC_2018__35_6_1687_0
Liang, Chao; Marin, Karina; Yang, Jiagang. Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1687-1706. doi: 10.1016/j.anihpc.2018.01.007

Cité par Sources :