ON THE CREATION OF CONJUGATE-POINTS FOR HAMILTONIAN-SYSTEMS

Authors
CONTRERAS G ITURRIAGA R SANCHEZMORGADO H
Citation
G. Contreras et al., ON THE CREATION OF CONJUGATE-POINTS FOR HAMILTONIAN-SYSTEMS, Nonlinearity, 11(2), 1998, pp. 355-361
Citations number
8
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
11
Issue
2
Year of publication
1998
Pages
355 - 361
Database
ISI
SICI code
0951-7715(1998)11:2<355:OTCOCF>2.0.ZU;2-M
Abstract
For a fixed Hamiltonian H on the cotangent bundle of a compact manifol d M and a fixed energy level e, we prove that the set A(e) of potentia ls phi on M such that the Hamiltonian flow of H + phi is Anosov, is th e interior in the C-2 topology of the set B-e of potentials such that the flow has no conjugate points.