A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T-2

Citation
A. Delshams et al., A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T-2, COMM MATH P, 209(2), 2000, pp. 353-392
Citations number
34
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
209
Issue
2
Year of publication
2000
Pages
353 - 392
Database
ISI
SICI code
0010-3616(200002)209:2<353:AGATTE>2.0.ZU;2-F
Abstract
We give a proof based in geometric perturbation theory of a result proved b y J. N. Mather using variational methods. Namely, the existence of orbits w ith unbounded energy in perturbations of a generic geodesic flow in T-2 by a generic periodic potential.