On the creation of conjugate points for Hamiltonian systems

被引：5

作者：

Contreras, G

Iturriaga, R

Sanchez-Morgado, H

机构：

[1] CIMAT, Guanajuato 3600, Mexico

[2] PUC Rio, Dept Matemat, BR-22453900 Rio De Janeiro, Brazil

[3] Univ Nacl Autonoma Mexico, Inst Matemat, Cd Mexico, Mexico

来源：

NONLINEARITY | 1998年 / 11卷 / 02期

关键词：

D O I：

10.1088/0951-7715/11/2/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a fixed Hamiltonian H on the cotangent bundle of a compact manifold M and a fixed energy level e, we prove that the set A(e) of potentials phi on M such that the Hamiltonian flow of H + phi is Anosov, is the interior in the C(2) topology of the set B(e) of potentials such that the flow has no conjugate points.

引用

页码：355 / 361

页数：7