Hyperbolicity through stable shadowing for generic geodesic flows

被引：1
作者：
Bessa, Mario [1 ]
Dias, Joao Lopes [2 ,3 ]
Torres, Maria Joana [4 ,5 ]
机构：
[1] Univ Beira Interior, Rua Marques dAvila & Bolama, P-6201001 Covilha, Portugal
[2] Univ Lisbon, ISEG, CEMAPRE, Dept Matemat, Rua Quelhas 6, P-1200781 Lisbon, Portugal
[3] Univ Lisbon, ISEG, REM, Rua Quelhas 6, P-1200781 Lisbon, Portugal
[4] Univ Minho, CMAT, Campus Gualtar, P-4700057 Braga, Portugal
[5] Univ Minho, Dept Matemat & Aplicacoes, Campus Gualtar, P-4700057 Braga, Portugal
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 406卷
关键词：
Geodesic flow; Hyperbolic sets; Shadowing; Specification;
D O I：
10.1016/j.physd.2020.132423
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the closure of the closed orbits of a generic geodesic flow on a closed Riemannian n >= 2 dimensional manifold is a uniformly hyperbolic set if the shadowing property holds C-2-robustly on the metric. We obtain analogous results using weak specification and the shadowing property allowing bounded time reparametrization. (C) 2020 Elsevier B.V. All rights reserved.
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页数：6
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