Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
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DOI：
10.1016/j.anihpc.2018.01.007
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发表时间：
2016-04
期刊：
影响因子：
--
通讯作者：
C. Liang;Karina Marin;Jiagang Yang
中科院分区：
文献类型：
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作者：
C. Liang;Karina Marin;Jiagang Yang
本文研究了可达的、具有二维中心丛且满足某些拼挤和聚束条件的部分双曲辛同态。在这个集合中，我们证明了非一致双曲映射是Cr开的，并且存在一个Cr开且稠密的中心Lyapunov指数连续点子集.我们也将这些结果推广到保体积系统。
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.