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arXiv · 1604.05987

Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle

Chao Liang·Karina Marin·Jiagang Yang
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Abstract

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 $C^r$ open and there exists a $C^r$ open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.

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Chao Liang, Karina Marin, Jiagang Yang. 2016-04-20. Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle. https://doi.org/10.1016/j.anihpc.2018.01.007

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