The Ergodicity of a Class of Almost Anosov Systems  

作　　者：Yun Hua ZHOU 

机构地区：[1]College of Mathematics and Statistics, Chongqing University

出　　处：《Acta Mathematica Sinica,English Series》2013年第1期193-198,共6页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11001284);Natural Science FoundationProject of CQ CSTC(Grant No.cstcjjA00003);Fundamental Research Funds for Central Universities(CDJZR10100006)

摘　　要：In this paper, we prove that some volume-preserving almost Anosov systems are ergodic if they are essentially accessible. The key idea is that there are stable and unstable manifolds with uniform size on the orbits Of the hyperbolic points for these systems.In this paper, we prove that some volume-preserving almost Anosov systems are ergodic if they are essentially accessible. The key idea is that there are stable and unstable manifolds with uniform size on the orbits Of the hyperbolic points for these systems.

关 键 词：ERGODICITY almost Anosov essential accessibility 

分 类 号：O186.12[理学—数学]