An example of a jump from chaos to integrability for magnetic geodesic flows

Simple item page
dc.creatorTaimanov, I. A.
dc.date2003-12-23
dc.date2005-03-01
dc.date.accessioned2026-07-07T05:04:09Z
dc.date.available2026-07-07T05:04:09Z
dc.descriptionIt is proved that the motion of a charge particle on a hyperbolic oriented two-dimensional surface in a magnetic field given by the volume form of the hyperbolic metric is completely integrable on the energy levels E < 1/2 in terms of real-analytic integrals. However it was known that on the level E=1/2 every trajectory is transitive and the restrictions of this flow onto the levels E>1/2 are Anosov flows
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0312430
dc.identifierhttp://arxiv.org/abs/math/0312430
dc.identifierMath. Notes 76 (2004), 587-589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69691
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleAn example of a jump from chaos to integrability for magnetic geodesic flows
dc.typetext

Files

Collections

arXiv