SHADOWING,EXPANSIVENESS AND SPECIFICATION FOR C^1-CONSERVATIVE SYSTEMS

作     者：Mario BESSA Manseob LEE 文晓 

作者机构：Universidade da Beira InteriorRua Marques d'Avila e Bolama Department of MathematicsMokwon University The School of Mathematics and Systems ScienceBeihang University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2015年第35卷第3期

页      面：583-600页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partially supported by National Funds through FCT-"Fundacao para a Ciencia e a Tecnologia",(PEst-OE/MAT/UI0212/2011) supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry,ICT&Future Planning(No.2014R1A1A1A05002124) supported by National Natural Science Foundation of China(No.11301018 and 11371046) 

主　　题：Shadowing expansiveness specification generic Anosov volume-preserving star systems 

摘      要：We prove that a Cl-generic volume-preserving dynamical system （diffeomor- phism or flow） has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov. Finally, as in [10, 27], we prove that the Cl-robustness, within the volume-preserving context, of the expansiveness property and the weak specifica- tion property, imply that the dynamical system （diffeomorphism or flow） is Anosov.