Orbital Shadowing for C1-Generic Volume-Preserving Diffeomorphisms

被引:7
|
作者
Lee, Manseob [1 ]
机构
[1] Mokwon Univ, Dept Math, Dajeon 302729, South Korea
基金
新加坡国家研究基金会;
关键词
D O I
10.1155/2013/693032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that C-1-generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Volume-preserving diffeomorphisms with inverse shadowing
    Manseob Lee
    [J]. Journal of Inequalities and Applications, 2012
  • [2] Volume-preserving diffeomorphisms with inverse shadowing
    Lee, Manseob
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [3] Volume-Preserving Diffeomorphisms with Various Limit Shadowing
    Lee, Manseob
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (02):
  • [4] Volume preserving diffeomorphisms with orbital shadowing
    Lee, Keonhee
    Lee, Manseob
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [5] Volume preserving diffeomorphisms with orbital shadowing
    Keonhee Lee
    Manseob Lee
    [J]. Journal of Inequalities and Applications, 2013
  • [6] Volume-Preserving Diffeomorphisms with the M0-Shadowing Properties
    Wu, Xinxing
    Zhang, Xu
    Sun, Fu
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (02)
  • [7] Generic continuity of metric entropy for volume-preserving diffeomorphisms
    Yang, Jiagang
    Zhou, Yunhua
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (01) : 364 - 371
  • [8] Nonuniform hyperbolicity for C1-generic diffeomorphisms
    Flavio Abdenur
    Christian Bonatti
    Sylvain Crovisier
    [J]. Israel Journal of Mathematics, 2011, 183
  • [9] NONUNIFORM HYPERBOLICITY FOR C1-GENERIC DIFFEOMORPHISMS
    Abdenur, Flavio
    Bonatti, Christian
    Crovisier, Sylvain
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2011, 183 (01) : 1 - 60
  • [10] ON THE GROUP OF VOLUME-PRESERVING DIFFEOMORPHISMS
    ISMAGILOV, RS
    [J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1981, 17 (01): : 95 - 127