ON MEASURE EXPANSIVE DIFFEOMORPHISMS

被引：0

作者：

Pacifico, M. J. ^{[1
]}

Vieitez, J. L. ^{[2
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Metemat, BR-21945970 Rio De Janeiro, RJ, Brazil

[2] Univ Republica, Fac Ingn, Inst Matemat, Montevideo 11300, Uruguay

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期

关键词：

ENTROPY-EXPANSIVENESS; HOMOCLINIC CLASSES; HOMEOMORPHISMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f : M -> M be a diffeomorphism defined on a compact boundaryless d-dimensional manifold M, d >= 2. In this note we show that diffeomorphisms in a residual subset far from homoclinic tangencies are measure expansive. We also show that surface diffeomorphisms presenting homoclinic tangencies can be C-1-approximated by non-measure expansive diffeomorphisms.

引用

页码：811 / 819

页数：9

共 50 条

[31] ON CENTRALIZERS OF INTERVAL DIFFEOMORPHISMS IN CRITICAL (INTERMEDIATE) REGULARITY
Navas, Andres
JOURNAL D ANALYSE MATHEMATIQUE, 2013, 121 : 1 - 30
[32] On 3-manifolds that support partially hyperbolic diffeomorphisms
Parwani, Kamlesh
NONLINEARITY, 2010, 23 (03) : 589 - 606
[33] Expansive flows of the three-sphere
Artigue, Alfonso
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2015, 41 : 91 - 101
[34] Descriptive set theory for expansive systems
Bautista, S.
Morales, C. A.
Villavicencio, H.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (01) : 916 - 928
[35] A HOFER-LIKE METRIC ON THE GROUP OF SYMPLECTIC DIFFEOMORPHISMS
Banyaga, Augustin
SYMPLECTIC TOPOLOGY AND MEASURE PRESERVING DYNAMICAL SYSTEMS, 2010, 512 : 1 - 23
[36] Minimal expansive systems and spiral points
Artigue, Alfonso
TOPOLOGY AND ITS APPLICATIONS, 2015, 194 : 166 - 170
[37] Topological stability for fuzzy expansive maps
Badilla, L.
Carrasco-Olivera, D.
Sirvent, V. F.
Villavicencio, H.
FUZZY SETS AND SYSTEMS, 2021, 425 : 34 - 47
[38] N-expansive homeomorphisms on surfaces
Artigue, A.
Pacifico, M. J.
Vieitez, J. L.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2017, 19 (01)
[39] Teichmuller space of circle diffeomorphisms with Holder continuous derivatives
Matsuzaki, Katsuhiko
REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (05) : 1333 - 1374
[40] Diffeomorphisms having rotation sets with non-empty interior
Enrich, Heber
Guelman, Nancy
Larcanche, Audrey
Liousse, Isabelle
NONLINEARITY, 2009, 22 (08) : 1899 - 1907

← 1 2 3 4 5 →