Hamiltonian Dynamical Systems Without Periodic Orbits

Simple item page
dc.creatorGinzburg, Viktor L.
dc.date1998-11-04
dc.date1999-01-18
dc.date.accessioned2026-07-07T05:26:42Z
dc.date.available2026-07-07T05:26:42Z
dc.descriptionThe present paper is a review of counterexamples to the ``Hamiltonian Seifert conjecture'' or, more generally, of examples of Hamiltonian systems having no periodic orbits on a compact energy level. We begin with the discussion of the ``classical'' and volume--preserving Seifert conjectures. Then a construction of counterexamples to the Hamiltonian Seifert conjecture in dimensions greater than or equal to six is outlined, mainly following the method introduced by the author of the paper. The Hamiltonian version of Seifert's theorem is also stated. A list of all known at this moment examples and constructions of Hamiltonian flows without periodic flows concludes the review.
dc.descriptionAMS-LaTeX, 16 pages, minor changes and corrections
dc.identifierhttps://arxiv.org/abs/math/9811014
dc.identifierhttp://arxiv.org/abs/math/9811014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77650
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject58F05, 58F17, 58F22
dc.titleHamiltonian Dynamical Systems Without Periodic Orbits
dc.typetext

Files

Collections

arXiv