On the creation of conjugate points for Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
On the Creation of Conjugate Points for Hamiltonian Systems
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 Ae of potentials φ on M such that the Hamiltonian flow of H +φ is Anosov, is the interior in the C2 topology of the set Be of potentials such that the flow has no conjugate points. AMS classification scheme numbers: 58F05, 58F15
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 1998
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/11/2/010