Adiabatic limits of closed orbits for some Newtonian systems in R^n

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dc.creatorMalchiodi, Andrea
dc.date2000-06-30
dc.date.accessioned2026-07-07T04:36:10Z
dc.date.available2026-07-07T04:36:10Z
dc.descriptionWe deal with a Newtonian system like x'' + V'(x) = 0. We suppose that V: \R^n \to \R possesses an (n-1)-dimensional compact manifold M of critical points, and we prove the existence of arbitrarity slow periodic orbits. When the period tends to infinity these orbits, rescaled in time, converge to some closed geodesics on M.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0006229
dc.identifierhttp://arxiv.org/abs/math/0006229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59503
dc.subjectDynamical Systems
dc.titleAdiabatic limits of closed orbits for some Newtonian systems in R^n
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